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Finding the Third Proportional to 83,305,125 and 179,412,408

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Solution

The third proportional to 83,305,125 and 179,412,408 is: 386,396,540.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,305,125 : 179,412,408 = 179,412,408 : x
  2. Step 2: Convert to fraction form
    83,305,125/179,412,408 = 179,412,408/x
  3. Step 3: Cross multiply
    83,305,125x = 179,412,408 × 179,412,408
  4. Step 4: Simplify right side
    83,305,125x = 32,188,812,144,358,464
  5. Step 5: Solve for x
    x = 32,188,812,144,358,464/83,305,125
  6. Step 6: Final answer
    x = 386,396,540.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.