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Finding the Third Proportional to 82,282,849 and 176,948,978

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Solution

The third proportional to 82,282,849 and 176,948,978 is: 380,528,156.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,282,849 : 176,948,978 = 176,948,978 : x
  2. Step 2: Convert to fraction form
    82,282,849/176,948,978 = 176,948,978/x
  3. Step 3: Cross multiply
    82,282,849x = 176,948,978 × 176,948,978
  4. Step 4: Simplify right side
    82,282,849x = 31,310,940,815,244,484
  5. Step 5: Solve for x
    x = 31,310,940,815,244,484/82,282,849
  6. Step 6: Final answer
    x = 380,528,156.18

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.