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Finding the Third Proportional to 95,918 and 195,644

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Solution

The third proportional to 95,918 and 195,644 is: 399,055.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,918 : 195,644 = 195,644 : x
  2. Step 2: Convert to fraction form
    95,918/195,644 = 195,644/x
  3. Step 3: Cross multiply
    95,918x = 195,644 × 195,644
  4. Step 4: Simplify right side
    95,918x = 38,276,574,736
  5. Step 5: Solve for x
    x = 38,276,574,736/95,918
  6. Step 6: Final answer
    x = 399,055.18

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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.