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Finding the Third Proportional to 95,738 and 196,228

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Solution

The third proportional to 95,738 and 196,228 is: 402,195.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,738 : 196,228 = 196,228 : x
  2. Step 2: Convert to fraction form
    95,738/196,228 = 196,228/x
  3. Step 3: Cross multiply
    95,738x = 196,228 × 196,228
  4. Step 4: Simplify right side
    95,738x = 38,505,427,984
  5. Step 5: Solve for x
    x = 38,505,427,984/95,738
  6. Step 6: Final answer
    x = 402,195.87

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.