Finding the Third Proportional to 202,436,632,762.50 and 421,628,826,052.50
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Solution
The third proportional to 202,436,632,762.50 and 421,628,826,052.50 is: 878,155,621,008.43
Step by Step Solution
- Step 1: Write the proportion equation
202,436,632,762.50 : 421,628,826,052.50 = 421,628,826,052.50 : x - Step 2: Convert to fraction form
202,436,632,762.50/421,628,826,052.50 = 421,628,826,052.50/x - Step 3: Cross multiply
202,436,632,762.50x = 421,628,826,052.50 × 421,628,826,052.50 - Step 4: Simplify right side
202,436,632,762.50x = 177,770,866,958,409,287,073,792 - Step 5: Solve for x
x = 177,770,866,958,409,287,073,792/202,436,632,762.50 - Step 6: Final answer
x = 878,155,621,008.43
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Why These Related Problems?
These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.