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Finding the Third Proportional to 41,245.88 and 90,372.38

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Solution

The third proportional to 41,245.88 and 90,372.38 is: 198,011.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,245.88 : 90,372.38 = 90,372.38 : x
  2. Step 2: Convert to fraction form
    41,245.88/90,372.38 = 90,372.38/x
  3. Step 3: Cross multiply
    41,245.88x = 90,372.38 × 90,372.38
  4. Step 4: Simplify right side
    41,245.88x = 8,167,166,163.14
  5. Step 5: Solve for x
    x = 8,167,166,163.14/41,245.88
  6. Step 6: Final answer
    x = 198,011.71

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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.