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Finding the Third Proportional to 90,444 and 196,449

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Solution

The third proportional to 90,444 and 196,449 is: 426,697.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,444 : 196,449 = 196,449 : x
  2. Step 2: Convert to fraction form
    90,444/196,449 = 196,449/x
  3. Step 3: Cross multiply
    90,444x = 196,449 × 196,449
  4. Step 4: Simplify right side
    90,444x = 38,592,209,601
  5. Step 5: Solve for x
    x = 38,592,209,601/90,444
  6. Step 6: Final answer
    x = 426,697.29

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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.