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Finding the Third Proportional to 75,944,680 and 165,688,204

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Solution

The third proportional to 75,944,680 and 165,688,204 is: 361,481,290.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,944,680 : 165,688,204 = 165,688,204 : x
  2. Step 2: Convert to fraction form
    75,944,680/165,688,204 = 165,688,204/x
  3. Step 3: Cross multiply
    75,944,680x = 165,688,204 × 165,688,204
  4. Step 4: Simplify right side
    75,944,680x = 27,452,580,944,745,616
  5. Step 5: Solve for x
    x = 27,452,580,944,745,616/75,944,680
  6. Step 6: Final answer
    x = 361,481,290.65

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.