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Finding the Third Proportional to 83,006,408 and 124,052,118

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Solution

The third proportional to 83,006,408 and 124,052,118 is: 185,394,457.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,006,408 : 124,052,118 = 124,052,118 : x
  2. Step 2: Convert to fraction form
    83,006,408/124,052,118 = 124,052,118/x
  3. Step 3: Cross multiply
    83,006,408x = 124,052,118 × 124,052,118
  4. Step 4: Simplify right side
    83,006,408x = 15,388,927,980,285,924
  5. Step 5: Solve for x
    x = 15,388,927,980,285,924/83,006,408
  6. Step 6: Final answer
    x = 185,394,457.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.