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Finding the Third Proportional to 101,749.50 and 217,008.75

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Solution

The third proportional to 101,749.50 and 217,008.75 is: 462,830.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,749.50 : 217,008.75 = 217,008.75 : x
  2. Step 2: Convert to fraction form
    101,749.50/217,008.75 = 217,008.75/x
  3. Step 3: Cross multiply
    101,749.50x = 217,008.75 × 217,008.75
  4. Step 4: Simplify right side
    101,749.50x = 47,092,797,576.56
  5. Step 5: Solve for x
    x = 47,092,797,576.56/101,749.50
  6. Step 6: Final answer
    x = 462,830.75

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.