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Finding the Third Proportional to 101,422.13 and 217,788.75

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Solution

The third proportional to 101,422.13 and 217,788.75 is: 467,668.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,422.13 : 217,788.75 = 217,788.75 : x
  2. Step 2: Convert to fraction form
    101,422.13/217,788.75 = 217,788.75/x
  3. Step 3: Cross multiply
    101,422.13x = 217,788.75 × 217,788.75
  4. Step 4: Simplify right side
    101,422.13x = 47,431,939,626.56
  5. Step 5: Solve for x
    x = 47,431,939,626.56/101,422.13
  6. Step 6: Final answer
    x = 467,668.56

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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.