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Finding the Third Proportional to 82,282,876 and 176,949,008

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Solution

The third proportional to 82,282,876 and 176,949,008 is: 380,528,160.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,282,876 : 176,949,008 = 176,949,008 : x
  2. Step 2: Convert to fraction form
    82,282,876/176,949,008 = 176,949,008/x
  3. Step 3: Cross multiply
    82,282,876x = 176,949,008 × 176,949,008
  4. Step 4: Simplify right side
    82,282,876x = 31,310,951,432,184,064
  5. Step 5: Solve for x
    x = 31,310,951,432,184,064/82,282,876
  6. Step 6: Final answer
    x = 380,528,160.35

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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.