In $1896,$ the first Green Jacket Golf Championship was held. The winner's prize money was $$190.$ In $2020,$ the winner's check was

$$2,400,000.$

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

anual percentage increase: $\%$

Note: Do not round intermediate calculations and enter your answer as a percent rounded to $2$ decimal places,

b$.$ If the winner's prize increases at the same rate, what will it be in $2056?$

$2056$ prize money:

Note: Do not round intermediate calculations and round your answer to $2$ decimal places