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Finding the Third Proportional to 95,397 and 207,197

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Solution

The third proportional to 95,397 and 207,197 is: 450,020.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,397 : 207,197 = 207,197 : x
  2. Step 2: Convert to fraction form
    95,397/207,197 = 207,197/x
  3. Step 3: Cross multiply
    95,397x = 207,197 × 207,197
  4. Step 4: Simplify right side
    95,397x = 42,930,596,809
  5. Step 5: Solve for x
    x = 42,930,596,809/95,397
  6. Step 6: Final answer
    x = 450,020.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.