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Finding the Third Proportional to 76,787,902.13 and 165,847,996.13

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Solution

The third proportional to 76,787,902.13 and 165,847,996.13 is: 358,201,709.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,787,902.13 : 165,847,996.13 = 165,847,996.13 : x
  2. Step 2: Convert to fraction form
    76,787,902.13/165,847,996.13 = 165,847,996.13/x
  3. Step 3: Cross multiply
    76,787,902.13x = 165,847,996.13 × 165,847,996.13
  4. Step 4: Simplify right side
    76,787,902.13x = 27,505,557,818,678,016
  5. Step 5: Solve for x
    x = 27,505,557,818,678,016/76,787,902.13
  6. Step 6: Final answer
    x = 358,201,709.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.