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Finding the Third Proportional to 204,023.18 and 316,978.31

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Solution

The third proportional to 204,023.18 and 316,978.31 is: 492,469.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,023.18 : 316,978.31 = 316,978.31 : x
  2. Step 2: Convert to fraction form
    204,023.18/316,978.31 = 316,978.31/x
  3. Step 3: Cross multiply
    204,023.18x = 316,978.31 × 316,978.31
  4. Step 4: Simplify right side
    204,023.18x = 100,475,250,595.35
  5. Step 5: Solve for x
    x = 100,475,250,595.35/204,023.18
  6. Step 6: Final answer
    x = 492,469.78

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