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Finding the Third Proportional to 95,919 and 195,646

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Solution

The third proportional to 95,919 and 195,646 is: 399,059.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,919 : 195,646 = 195,646 : x
  2. Step 2: Convert to fraction form
    95,919/195,646 = 195,646/x
  3. Step 3: Cross multiply
    95,919x = 195,646 × 195,646
  4. Step 4: Simplify right side
    95,919x = 38,277,357,316
  5. Step 5: Solve for x
    x = 38,277,357,316/95,919
  6. Step 6: Final answer
    x = 399,059.18

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.