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Finding the Third Proportional to 160,613,170 and 216,704,877

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Solution

The third proportional to 160,613,170 and 216,704,877 is: 292,385,759.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,613,170 : 216,704,877 = 216,704,877 : x
  2. Step 2: Convert to fraction form
    160,613,170/216,704,877 = 216,704,877/x
  3. Step 3: Cross multiply
    160,613,170x = 216,704,877 × 216,704,877
  4. Step 4: Simplify right side
    160,613,170x = 46,961,003,715,585,128
  5. Step 5: Solve for x
    x = 46,961,003,715,585,128/160,613,170
  6. Step 6: Final answer
    x = 292,385,759.62

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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.