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Finding the Third Proportional to 68,982,624 and 108,213,408

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Solution

The third proportional to 68,982,624 and 108,213,408 is: 169,754,946.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,982,624 : 108,213,408 = 108,213,408 : x
  2. Step 2: Convert to fraction form
    68,982,624/108,213,408 = 108,213,408/x
  3. Step 3: Cross multiply
    68,982,624x = 108,213,408 × 108,213,408
  4. Step 4: Simplify right side
    68,982,624x = 11,710,141,670,974,464
  5. Step 5: Solve for x
    x = 11,710,141,670,974,464/68,982,624
  6. Step 6: Final answer
    x = 169,754,946.85

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.