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Finding the Third Proportional to 41,320.13 and 89,646.75

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Solution

The third proportional to 41,320.13 and 89,646.75 is: 194,494.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,320.13 : 89,646.75 = 89,646.75 : x
  2. Step 2: Convert to fraction form
    41,320.13/89,646.75 = 89,646.75/x
  3. Step 3: Cross multiply
    41,320.13x = 89,646.75 × 89,646.75
  4. Step 4: Simplify right side
    41,320.13x = 8,036,539,785.56
  5. Step 5: Solve for x
    x = 8,036,539,785.56/41,320.13
  6. Step 6: Final answer
    x = 194,494.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.