Finding the Third Proportional to 230,092,864 and 310,971,549
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Solution
The third proportional to 230,092,864 and 310,971,549 is: 420,279,458.50
Step by Step Solution
- Step 1: Write the proportion equation
230,092,864 : 310,971,549 = 310,971,549 : x - Step 2: Convert to fraction form
230,092,864/310,971,549 = 310,971,549/x - Step 3: Cross multiply
230,092,864x = 310,971,549 × 310,971,549 - Step 4: Simplify right side
230,092,864x = 96,703,304,287,459,408 - Step 5: Solve for x
x = 96,703,304,287,459,408/230,092,864 - Step 6: Final answer
x = 420,279,458.50
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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.