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Finding the Third Proportional to 95,764.78 and 208,114.31

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Solution

The third proportional to 95,764.78 and 208,114.31 is: 452,270.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,764.78 : 208,114.31 = 208,114.31 : x
  2. Step 2: Convert to fraction form
    95,764.78/208,114.31 = 208,114.31/x
  3. Step 3: Cross multiply
    95,764.78x = 208,114.31 × 208,114.31
  4. Step 4: Simplify right side
    95,764.78x = 43,311,567,067.35
  5. Step 5: Solve for x
    x = 43,311,567,067.35/95,764.78
  6. Step 6: Final answer
    x = 452,270.31

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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.