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Finding the Third Proportional to 95,904 and 208,968

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Solution

The third proportional to 95,904 and 208,968 is: 455,326.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,904 : 208,968 = 208,968 : x
  2. Step 2: Convert to fraction form
    95,904/208,968 = 208,968/x
  3. Step 3: Cross multiply
    95,904x = 208,968 × 208,968
  4. Step 4: Simplify right side
    95,904x = 43,667,625,024
  5. Step 5: Solve for x
    x = 43,667,625,024/95,904
  6. Step 6: Final answer
    x = 455,326.42

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.