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Finding the Third Proportional to 96,338 and 207,013

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Solution

The third proportional to 96,338 and 207,013 is: 444,833.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,338 : 207,013 = 207,013 : x
  2. Step 2: Convert to fraction form
    96,338/207,013 = 207,013/x
  3. Step 3: Cross multiply
    96,338x = 207,013 × 207,013
  4. Step 4: Simplify right side
    96,338x = 42,854,382,169
  5. Step 5: Solve for x
    x = 42,854,382,169/96,338
  6. Step 6: Final answer
    x = 444,833.63

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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.