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Finding the Third Proportional to 41,118.38 and 89,673.75

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Solution

The third proportional to 41,118.38 and 89,673.75 is: 195,566.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,118.38 : 89,673.75 = 89,673.75 : x
  2. Step 2: Convert to fraction form
    41,118.38/89,673.75 = 89,673.75/x
  3. Step 3: Cross multiply
    41,118.38x = 89,673.75 × 89,673.75
  4. Step 4: Simplify right side
    41,118.38x = 8,041,381,439.06
  5. Step 5: Solve for x
    x = 8,041,381,439.06/41,118.38
  6. Step 6: Final answer
    x = 195,566.62

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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.