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Finding the Third Proportional to 77,760.75 and 166,849.50

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Solution

The third proportional to 77,760.75 and 166,849.50 is: 358,005.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,760.75 : 166,849.50 = 166,849.50 : x
  2. Step 2: Convert to fraction form
    77,760.75/166,849.50 = 166,849.50/x
  3. Step 3: Cross multiply
    77,760.75x = 166,849.50 × 166,849.50
  4. Step 4: Simplify right side
    77,760.75x = 27,838,755,650.25
  5. Step 5: Solve for x
    x = 27,838,755,650.25/77,760.75
  6. Step 6: Final answer
    x = 358,005.24

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