Finding the Third Proportional to 202,251,670,530.12 and 440,107,782,436.75
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Solution
The third proportional to 202,251,670,530.12 and 440,107,782,436.75 is: 957,692,263,572.91
Step by Step Solution
- Step 1: Write the proportion equation
202,251,670,530.12 : 440,107,782,436.75 = 440,107,782,436.75 : x - Step 2: Convert to fraction form
202,251,670,530.12/440,107,782,436.75 = 440,107,782,436.75/x - Step 3: Cross multiply
202,251,670,530.12x = 440,107,782,436.75 × 440,107,782,436.75 - Step 4: Simplify right side
202,251,670,530.12x = 193,694,860,161,393,688,051,712 - Step 5: Solve for x
x = 193,694,860,161,393,688,051,712/202,251,670,530.12 - Step 6: Final answer
x = 957,692,263,572.91
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.