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Finding the Third Proportional to 47,724.89 and 98,752.92

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Solution

The third proportional to 47,724.89 and 98,752.92 is: 204,340.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,724.89 : 98,752.92 = 98,752.92 : x
  2. Step 2: Convert to fraction form
    47,724.89/98,752.92 = 98,752.92/x
  3. Step 3: Cross multiply
    47,724.89x = 98,752.92 × 98,752.92
  4. Step 4: Simplify right side
    47,724.89x = 9,752,139,578.85
  5. Step 5: Solve for x
    x = 9,752,139,578.85/47,724.89
  6. Step 6: Final answer
    x = 204,340.74

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.