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Finding the Third Proportional to 101,295.56 and 217,358.44

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Solution

The third proportional to 101,295.56 and 217,358.44 is: 466,404.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,295.56 : 217,358.44 = 217,358.44 : x
  2. Step 2: Convert to fraction form
    101,295.56/217,358.44 = 217,358.44/x
  3. Step 3: Cross multiply
    101,295.56x = 217,358.44 × 217,358.44
  4. Step 4: Simplify right side
    101,295.56x = 47,244,690,352.44
  5. Step 5: Solve for x
    x = 47,244,690,352.44/101,295.56
  6. Step 6: Final answer
    x = 466,404.34

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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.