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Finding the Third Proportional to 140,819,458 and 224,071,395

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Solution

The third proportional to 140,819,458 and 224,071,395 is: 356,541,565.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,819,458 : 224,071,395 = 224,071,395 : x
  2. Step 2: Convert to fraction form
    140,819,458/224,071,395 = 224,071,395/x
  3. Step 3: Cross multiply
    140,819,458x = 224,071,395 × 224,071,395
  4. Step 4: Simplify right side
    140,819,458x = 50,207,990,057,246,024
  5. Step 5: Solve for x
    x = 50,207,990,057,246,024/140,819,458
  6. Step 6: Final answer
    x = 356,541,565.85

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.