\(\left[{}\begin{matrix}\left\{{}\begin{matrix}R1=U1^2:P1=110^2:50=242\Omega\\I1=P1:U1=50:110=\dfrac{5}{11}A\end{matrix}\right.\\\left\{{}\begin{matrix}R2=U2^2:P2=220^2:1000=48,4\Omega\\I2=P2:U2=1000:220=\dfrac{50}{11}A\end{matrix}\right.\end{matrix}\right.\)
\(\Rightarrow\left\{{}\begin{matrix}R=\dfrac{R1.R2}{R1+R2}=\dfrac{242.48,4}{242+48,4}=40,3\Omega\\I=I1+I2=\dfrac{5}{11}+\dfrac{50}{11}=5A\end{matrix}\right.\)
\(\Rightarrow U_{max}=IR=5.40,3=201,5V\)