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Finding the Third Proportional to 82,396,422 and 178,950,780

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Solution

The third proportional to 82,396,422 and 178,950,780 is: 388,650,148.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,396,422 : 178,950,780 = 178,950,780 : x
  2. Step 2: Convert to fraction form
    82,396,422/178,950,780 = 178,950,780/x
  3. Step 3: Cross multiply
    82,396,422x = 178,950,780 × 178,950,780
  4. Step 4: Simplify right side
    82,396,422x = 32,023,381,662,608,400
  5. Step 5: Solve for x
    x = 32,023,381,662,608,400/82,396,422
  6. Step 6: Final answer
    x = 388,650,148.70

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.