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Finding the Third Proportional to 41,181.50 and 89,915

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Solution

The third proportional to 41,181.50 and 89,915 is: 196,318.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,181.50 : 89,915 = 89,915 : x
  2. Step 2: Convert to fraction form
    41,181.50/89,915 = 89,915/x
  3. Step 3: Cross multiply
    41,181.50x = 89,915 × 89,915
  4. Step 4: Simplify right side
    41,181.50x = 8,084,707,225
  5. Step 5: Solve for x
    x = 8,084,707,225/41,181.50
  6. Step 6: Final answer
    x = 196,318.91

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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.