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Finding the Third Proportional to 41,121.98 and 89,680.78

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Solution

The third proportional to 41,121.98 and 89,680.78 is: 195,580.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,121.98 : 89,680.78 = 89,680.78 : x
  2. Step 2: Convert to fraction form
    41,121.98/89,680.78 = 89,680.78/x
  3. Step 3: Cross multiply
    41,121.98x = 89,680.78 × 89,680.78
  4. Step 4: Simplify right side
    41,121.98x = 8,042,642,525.61
  5. Step 5: Solve for x
    x = 8,042,642,525.61/41,121.98
  6. Step 6: Final answer
    x = 195,580.12

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.