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Finding the Third Proportional to 41,571.56 and 91,191.66

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Solution

The third proportional to 41,571.56 and 91,191.66 is: 200,038.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,571.56 : 91,191.66 = 91,191.66 : x
  2. Step 2: Convert to fraction form
    41,571.56/91,191.66 = 91,191.66/x
  3. Step 3: Cross multiply
    41,571.56x = 91,191.66 × 91,191.66
  4. Step 4: Simplify right side
    41,571.56x = 8,315,918,169.62
  5. Step 5: Solve for x
    x = 8,315,918,169.62/41,571.56
  6. Step 6: Final answer
    x = 200,038.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.