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Finding the Third Proportional to 101,842.31 and 217,662.19

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Solution

The third proportional to 101,842.31 and 217,662.19 is: 465,197.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,842.31 : 217,662.19 = 217,662.19 : x
  2. Step 2: Convert to fraction form
    101,842.31/217,662.19 = 217,662.19/x
  3. Step 3: Cross multiply
    101,842.31x = 217,662.19 × 217,662.19
  4. Step 4: Simplify right side
    101,842.31x = 47,376,827,867.29
  5. Step 5: Solve for x
    x = 47,376,827,867.29/101,842.31
  6. Step 6: Final answer
    x = 465,197.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.