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Finding the Third Proportional to 196,930.13 and 217,230.75

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Solution

The third proportional to 196,930.13 and 217,230.75 is: 239,624.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,930.13 : 217,230.75 = 217,230.75 : x
  2. Step 2: Convert to fraction form
    196,930.13/217,230.75 = 217,230.75/x
  3. Step 3: Cross multiply
    196,930.13x = 217,230.75 × 217,230.75
  4. Step 4: Simplify right side
    196,930.13x = 47,189,198,745.56
  5. Step 5: Solve for x
    x = 47,189,198,745.56/196,930.13
  6. Step 6: Final answer
    x = 239,624.07

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.