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Finding the Third Proportional to 160,613,167.50 and 216,704,874.75

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Solution

The third proportional to 160,613,167.50 and 216,704,874.75 is: 292,385,758.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,613,167.50 : 216,704,874.75 = 216,704,874.75 : x
  2. Step 2: Convert to fraction form
    160,613,167.50/216,704,874.75 = 216,704,874.75/x
  3. Step 3: Cross multiply
    160,613,167.50x = 216,704,874.75 × 216,704,874.75
  4. Step 4: Simplify right side
    160,613,167.50x = 46,961,002,740,413,184
  5. Step 5: Solve for x
    x = 46,961,002,740,413,184/160,613,167.50
  6. Step 6: Final answer
    x = 292,385,758.10

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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.