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Finding the Third Proportional to 95,686 and 207,998

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Solution

The third proportional to 95,686 and 207,998 is: 452,136.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,686 : 207,998 = 207,998 : x
  2. Step 2: Convert to fraction form
    95,686/207,998 = 207,998/x
  3. Step 3: Cross multiply
    95,686x = 207,998 × 207,998
  4. Step 4: Simplify right side
    95,686x = 43,263,168,004
  5. Step 5: Solve for x
    x = 43,263,168,004/95,686
  6. Step 6: Final answer
    x = 452,136.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.