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Finding the Third Proportional to 95,698 and 196,172

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Solution

The third proportional to 95,698 and 196,172 is: 402,134.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,698 : 196,172 = 196,172 : x
  2. Step 2: Convert to fraction form
    95,698/196,172 = 196,172/x
  3. Step 3: Cross multiply
    95,698x = 196,172 × 196,172
  4. Step 4: Simplify right side
    95,698x = 38,483,453,584
  5. Step 5: Solve for x
    x = 38,483,453,584/95,698
  6. Step 6: Final answer
    x = 402,134.36

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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.