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Finding the Third Proportional to 95,706 and 196,188

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Solution

The third proportional to 95,706 and 196,188 is: 402,166.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,706 : 196,188 = 196,188 : x
  2. Step 2: Convert to fraction form
    95,706/196,188 = 196,188/x
  3. Step 3: Cross multiply
    95,706x = 196,188 × 196,188
  4. Step 4: Simplify right side
    95,706x = 38,489,731,344
  5. Step 5: Solve for x
    x = 38,489,731,344/95,706
  6. Step 6: Final answer
    x = 402,166.34

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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.