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Finding the Third Proportional to 96,392.50 and 204,449

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Solution

The third proportional to 96,392.50 and 204,449 is: 433,637.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,392.50 : 204,449 = 204,449 : x
  2. Step 2: Convert to fraction form
    96,392.50/204,449 = 204,449/x
  3. Step 3: Cross multiply
    96,392.50x = 204,449 × 204,449
  4. Step 4: Simplify right side
    96,392.50x = 41,799,393,601
  5. Step 5: Solve for x
    x = 41,799,393,601/96,392.50
  6. Step 6: Final answer
    x = 433,637.41

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.