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Finding the Third Proportional to 41,887.13 and 90,213.75

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Solution

The third proportional to 41,887.13 and 90,213.75 is: 194,296.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,887.13 : 90,213.75 = 90,213.75 : x
  2. Step 2: Convert to fraction form
    41,887.13/90,213.75 = 90,213.75/x
  3. Step 3: Cross multiply
    41,887.13x = 90,213.75 × 90,213.75
  4. Step 4: Simplify right side
    41,887.13x = 8,138,520,689.06
  5. Step 5: Solve for x
    x = 8,138,520,689.06/41,887.13
  6. Step 6: Final answer
    x = 194,296.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.