$\left ( {1} \right )200\div 2\times 2$
$=100\times 2$
$=200\left ( {元} \right )$
$200\div 2\times 3$
$=100\times 3$
$=300\left ( {元} \right )$
$\left ( {2} \right )210000\div \left ( {2\times 200+1\times 200+\dfrac {1} {3}\times 300} \right )$
$=210000\div \left ( {400+200+100} \right )$
$=210000\div \left ( {600+100} \right )$
$=210000\div 700$
$=300\left ( {棵} \right )$
$300\times \left ( {2+1+\dfrac {1} {3}} \right )$
$=300\times \left ( {3+\dfrac {1} {3}} \right )$
$=300\times 3+300\times \dfrac {1} {3}$
$=900+100$
$=1000\left ( {棵} \right )$
答:$\left ( {1} \right )$乙、丙两种树每棵各$200$元和$300$元;$\left ( {2} \right )$这三种树共购买了$1000$棵.