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Finding the Third Proportional to 96,794 and 207,597

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Solution

The third proportional to 96,794 and 207,597 is: 445,239.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,794 : 207,597 = 207,597 : x
  2. Step 2: Convert to fraction form
    96,794/207,597 = 207,597/x
  3. Step 3: Cross multiply
    96,794x = 207,597 × 207,597
  4. Step 4: Simplify right side
    96,794x = 43,096,514,409
  5. Step 5: Solve for x
    x = 43,096,514,409/96,794
  6. Step 6: Final answer
    x = 445,239.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.