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Finding the Third Proportional to 82,282,846 and 176,948,972

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Solution

The third proportional to 82,282,846 and 176,948,972 is: 380,528,144.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,282,846 : 176,948,972 = 176,948,972 : x
  2. Step 2: Convert to fraction form
    82,282,846/176,948,972 = 176,948,972/x
  3. Step 3: Cross multiply
    82,282,846x = 176,948,972 × 176,948,972
  4. Step 4: Simplify right side
    82,282,846x = 31,310,938,691,856,784
  5. Step 5: Solve for x
    x = 31,310,938,691,856,784/82,282,846
  6. Step 6: Final answer
    x = 380,528,144.25

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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.