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Finding the Third Proportional to 41,044.25 and 89,873.50

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Solution

The third proportional to 41,044.25 and 89,873.50 is: 196,793.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,044.25 : 89,873.50 = 89,873.50 : x
  2. Step 2: Convert to fraction form
    41,044.25/89,873.50 = 89,873.50/x
  3. Step 3: Cross multiply
    41,044.25x = 89,873.50 × 89,873.50
  4. Step 4: Simplify right side
    41,044.25x = 8,077,246,002.25
  5. Step 5: Solve for x
    x = 8,077,246,002.25/41,044.25
  6. Step 6: Final answer
    x = 196,793.61

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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.