$6.$ Dunbar LTC$,$ a national nursing home chain, is considering purchasing a smaller chain, Eastern Nursing Homes. Dunbar's analysts project that the merger will result in free cash flows to equityholders with a present value of $$122,178,084,$ and they have determined that the appropriate discount rate for valuing Eastern is $16$ percent. Eastern has $5,040,350$ shares outstanding and no debt. Eastern's current price is $$16\mathrm{.}25.$ What is the maximum price per share that Dunbar should offer?

Write your answer to the nearest cent.