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Finding the Third Proportional to 142,974,729 and 220,932,414

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Solution

The third proportional to 142,974,729 and 220,932,414 is: 341,396,916.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,974,729 : 220,932,414 = 220,932,414 : x
  2. Step 2: Convert to fraction form
    142,974,729/220,932,414 = 220,932,414/x
  3. Step 3: Cross multiply
    142,974,729x = 220,932,414 × 220,932,414
  4. Step 4: Simplify right side
    142,974,729x = 48,811,131,555,867,392
  5. Step 5: Solve for x
    x = 48,811,131,555,867,392/142,974,729
  6. Step 6: Final answer
    x = 341,396,916.07

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.