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Finding the Third Proportional to 81,867,647 and 179,117,680

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Solution

The third proportional to 81,867,647 and 179,117,680 is: 391,890,379.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,867,647 : 179,117,680 = 179,117,680 : x
  2. Step 2: Convert to fraction form
    81,867,647/179,117,680 = 179,117,680/x
  3. Step 3: Cross multiply
    81,867,647x = 179,117,680 × 179,117,680
  4. Step 4: Simplify right side
    81,867,647x = 32,083,143,288,582,400
  5. Step 5: Solve for x
    x = 32,083,143,288,582,400/81,867,647
  6. Step 6: Final answer
    x = 391,890,379.95

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.