The Gender Ratio Trap, Part 3

The country changes its rule.

Now every family keeps having children until they have more girls than boys — then they stop. A family whose first child is a girl stops immediately (1 girl, 0 boys). A family whose first child is a boy keeps going until the girls finally pull ahead.

So every single family ends up with more girls than boys. Every one.

After many generations, what is the ratio of boys to girls in the population?