Finding the Third Proportional to 230,092,878 and 310,971,569
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Solution
The third proportional to 230,092,878 and 310,971,569 is: 420,279,486.99
Step by Step Solution
- Step 1: Write the proportion equation
230,092,878 : 310,971,569 = 310,971,569 : x - Step 2: Convert to fraction form
230,092,878/310,971,569 = 310,971,569/x - Step 3: Cross multiply
230,092,878x = 310,971,569 × 310,971,569 - Step 4: Simplify right side
230,092,878x = 96,703,316,726,321,760 - Step 5: Solve for x
x = 96,703,316,726,321,760/230,092,878 - Step 6: Final answer
x = 420,279,486.99
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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.