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Finding the Third Proportional to 230,801,498 and 487,357,108

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Solution

The third proportional to 230,801,498 and 487,357,108 is: 1,029,096,226.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,801,498 : 487,357,108 = 487,357,108 : x
  2. Step 2: Convert to fraction form
    230,801,498/487,357,108 = 487,357,108/x
  3. Step 3: Cross multiply
    230,801,498x = 487,357,108 × 487,357,108
  4. Step 4: Simplify right side
    230,801,498x = 237,516,950,718,123,648
  5. Step 5: Solve for x
    x = 237,516,950,718,123,648/230,801,498
  6. Step 6: Final answer
    x = 1,029,096,226.74

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.