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Finding the Third Proportional to 83,041,940 and 194,023,448

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Solution

The third proportional to 83,041,940 and 194,023,448 is: 453,326,335.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,041,940 : 194,023,448 = 194,023,448 : x
  2. Step 2: Convert to fraction form
    83,041,940/194,023,448 = 194,023,448/x
  3. Step 3: Cross multiply
    83,041,940x = 194,023,448 × 194,023,448
  4. Step 4: Simplify right side
    83,041,940x = 37,645,098,373,808,704
  5. Step 5: Solve for x
    x = 37,645,098,373,808,704/83,041,940
  6. Step 6: Final answer
    x = 453,326,335.75

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.