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Finding the Third Proportional to 95,398 and 207,199

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Solution

The third proportional to 95,398 and 207,199 is: 450,024.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,398 : 207,199 = 207,199 : x
  2. Step 2: Convert to fraction form
    95,398/207,199 = 207,199/x
  3. Step 3: Cross multiply
    95,398x = 207,199 × 207,199
  4. Step 4: Simplify right side
    95,398x = 42,931,425,601
  5. Step 5: Solve for x
    x = 42,931,425,601/95,398
  6. Step 6: Final answer
    x = 450,024.38

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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.