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Finding the Third Proportional to 83,188,624 and 179,530,231

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Solution

The third proportional to 83,188,624 and 179,530,231 is: 387,446,050.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,188,624 : 179,530,231 = 179,530,231 : x
  2. Step 2: Convert to fraction form
    83,188,624/179,530,231 = 179,530,231/x
  3. Step 3: Cross multiply
    83,188,624x = 179,530,231 × 179,530,231
  4. Step 4: Simplify right side
    83,188,624x = 32,231,103,842,913,360
  5. Step 5: Solve for x
    x = 32,231,103,842,913,360/83,188,624
  6. Step 6: Final answer
    x = 387,446,050.83

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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.