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Finding the Third Proportional to 41,122.69 and 89,682.19

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Solution

The third proportional to 41,122.69 and 89,682.19 is: 195,582.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,122.69 : 89,682.19 = 89,682.19 : x
  2. Step 2: Convert to fraction form
    41,122.69/89,682.19 = 89,682.19/x
  3. Step 3: Cross multiply
    41,122.69x = 89,682.19 × 89,682.19
  4. Step 4: Simplify right side
    41,122.69x = 8,042,894,754.79
  5. Step 5: Solve for x
    x = 8,042,894,754.79/41,122.69
  6. Step 6: Final answer
    x = 195,582.91

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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.