Like Jim says, it takes a lot for the mated. Not so much for the virgin queens, but mating them with your regular size frames takes a lot of resources and care and feed. Once your queens are mated, if there isn't enough bees to take care of all duties, it will grow very slow because she won't lay as many as she could be if there were more bees. Plus less foragers, so you will most likely feed because flows don't last long enough. And then there is robbing and pest.
Making too many, too fast cost alot of time, energy and money, but you can do it if you are ready. 20:100 is possible, but would be too demanding for me.
Just re-read your last post. Once mated, you plan on replacing existing queens, so sounds more like maybe just doubling from 20 to go to 40 ish. Sounds much easier.