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Finding the Third Proportional to 96,339 and 199,387.50

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Solution

The third proportional to 96,339 and 199,387.50 is: 412,661.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,339 : 199,387.50 = 199,387.50 : x
  2. Step 2: Convert to fraction form
    96,339/199,387.50 = 199,387.50/x
  3. Step 3: Cross multiply
    96,339x = 199,387.50 × 199,387.50
  4. Step 4: Simplify right side
    96,339x = 39,755,375,156.25
  5. Step 5: Solve for x
    x = 39,755,375,156.25/96,339
  6. Step 6: Final answer
    x = 412,661.28

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.