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Finding the Third Proportional to 95,844 and 207,978

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Solution

The third proportional to 95,844 and 207,978 is: 451,304.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,844 : 207,978 = 207,978 : x
  2. Step 2: Convert to fraction form
    95,844/207,978 = 207,978/x
  3. Step 3: Cross multiply
    95,844x = 207,978 × 207,978
  4. Step 4: Simplify right side
    95,844x = 43,254,848,484
  5. Step 5: Solve for x
    x = 43,254,848,484/95,844
  6. Step 6: Final answer
    x = 451,304.71

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