In $1897,$ the first Green Jacket Golf Championship was held. The winner$$s prize money was $$225.$ In $2020,$ the winner$$s check was $$2,610,000.$

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

Note: do not round intermediate calculations and round you answer to $2$ decimal places, eg$.,32\mathrm{.}16$

If the winner$$s prize increases at the same rate, what will it be in $2055?$

Note: do not round intermediate calculations and round you answer to $2$ decimal places, eg$.,1,234,567\mathrm{.}89$