In $1897,$ the first Green Jacket Golf Championship was held. The winner$$s prize money was $$205.$ In $2020,$ the winner$$s check was $$2,490,000.$

What was the annual percentage increase in the winner$$s check over this period?

Note: Do not round intermediate calculations and enter your answer as a percent rounded to $2$ decimal places, e$.$g$.,32\mathrm{.}16.$

If the winner$$s prize increases at the same rate, what will it be in $2051?$

Note: Do not round intermediate calculations and round your answer to $2$ decimal places, e$.$g$.,1,234,567\mathrm{.}8$