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Finding the Third Proportional to 285,534,499 and 385,253,082

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Solution

The third proportional to 285,534,499 and 385,253,082 is: 519,796,864.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,534,499 : 385,253,082 = 385,253,082 : x
  2. Step 2: Convert to fraction form
    285,534,499/385,253,082 = 385,253,082/x
  3. Step 3: Cross multiply
    285,534,499x = 385,253,082 × 385,253,082
  4. Step 4: Simplify right side
    285,534,499x = 148,419,937,190,498,720
  5. Step 5: Solve for x
    x = 148,419,937,190,498,720/285,534,499
  6. Step 6: Final answer
    x = 519,796,864.16

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.