This typical chart shows 50 feet 3/4" = 151 kBTU (technically cubic feet but, subject to a bunch of variables, basically 1 cubic foot = 1,000 BTU).
There are some other factors as well which could make things worse. If all of your usage (200 kBTU (the 199 game is simply because once you hit 200 the rules change, so that's why everyone maxes out at 199, so round it to keep things simple) + 60 kBTU + 36 kBTU) - call it 300,000 BTU as a nice round number. That needs a bit more than 1" (so 1-1/4") at 50 feet.
In any case, it doesn't look like 3/4" can properly supply even the tankless, not counting the furnace and stove. It is likely, but not guaranteed, that your overall service can handle 300 kBTU, but it is critical to check that before you start on any new pipe installation.
But seriously, this is similar to the problem of large electric tankless - the demand is HUGE. Unless you truly need unlimited supply, tank is the way to go. Two tanks if you need to - typical is 30,000 to 40,000 BTU each.
Also note that capacity will depend on input and output temperatures. Using this 199 kBTU 9.8 GPM Renai from Home Depot as an example, and a relatively safe (but still hot) output temperature of 120 F:
- 9.7 GPM at a 30 degree rise - if you start at 90 F! Not realistic at all.
- 6.6 GPM at a 50 degree rise - if you start at 70 F. That might work in the summer in some places.
- 4.7 GPM at a 70 degree rise - if you start at 50 F. That is realistic in a lot of places in the summer and some places year-round.
- 4.1 GPM at an 80 degree rise - if you start at 40 F. That's more realistic for a lot of places including the winter.
So you have to look at your real needs. Most people don't actually need 9 GPM. But you have to figure out if something under 5 GPM is really enough for your needs or not.