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Finding the Third Proportional to 96,267 and 231,918.75

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Solution

The third proportional to 96,267 and 231,918.75 is: 558,720.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,267 : 231,918.75 = 231,918.75 : x
  2. Step 2: Convert to fraction form
    96,267/231,918.75 = 231,918.75/x
  3. Step 3: Cross multiply
    96,267x = 231,918.75 × 231,918.75
  4. Step 4: Simplify right side
    96,267x = 53,786,306,601.56
  5. Step 5: Solve for x
    x = 53,786,306,601.56/96,267
  6. Step 6: Final answer
    x = 558,720.09

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.