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Finding the Third Proportional to 96,285 and 207,794

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Solution

The third proportional to 96,285 and 207,794 is: 448,443.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,285 : 207,794 = 207,794 : x
  2. Step 2: Convert to fraction form
    96,285/207,794 = 207,794/x
  3. Step 3: Cross multiply
    96,285x = 207,794 × 207,794
  4. Step 4: Simplify right side
    96,285x = 43,178,346,436
  5. Step 5: Solve for x
    x = 43,178,346,436/96,285
  6. Step 6: Final answer
    x = 448,443.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.