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Finding the Third Proportional to 95,918 and 205,660

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Solution

The third proportional to 95,918 and 205,660 is: 440,960.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,918 : 205,660 = 205,660 : x
  2. Step 2: Convert to fraction form
    95,918/205,660 = 205,660/x
  3. Step 3: Cross multiply
    95,918x = 205,660 × 205,660
  4. Step 4: Simplify right side
    95,918x = 42,296,035,600
  5. Step 5: Solve for x
    x = 42,296,035,600/95,918
  6. Step 6: Final answer
    x = 440,960.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.