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Finding the Third Proportional to 41,190.50 and 89,932

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Solution

The third proportional to 41,190.50 and 89,932 is: 196,350.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,190.50 : 89,932 = 89,932 : x
  2. Step 2: Convert to fraction form
    41,190.50/89,932 = 89,932/x
  3. Step 3: Cross multiply
    41,190.50x = 89,932 × 89,932
  4. Step 4: Simplify right side
    41,190.50x = 8,087,764,624
  5. Step 5: Solve for x
    x = 8,087,764,624/41,190.50
  6. Step 6: Final answer
    x = 196,350.24

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Why These Related Problems?

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