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Finding the Third Proportional to 82,396,420 and 178,950,776

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Solution

The third proportional to 82,396,420 and 178,950,776 is: 388,650,140.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,396,420 : 178,950,776 = 178,950,776 : x
  2. Step 2: Convert to fraction form
    82,396,420/178,950,776 = 178,950,776/x
  3. Step 3: Cross multiply
    82,396,420x = 178,950,776 × 178,950,776
  4. Step 4: Simplify right side
    82,396,420x = 32,023,380,231,002,176
  5. Step 5: Solve for x
    x = 32,023,380,231,002,176/82,396,420
  6. Step 6: Final answer
    x = 388,650,140.76

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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.