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Finding the Third Proportional to 106,989 and 165,571.50

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Solution

The third proportional to 106,989 and 165,571.50 is: 256,231.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,989 : 165,571.50 = 165,571.50 : x
  2. Step 2: Convert to fraction form
    106,989/165,571.50 = 165,571.50/x
  3. Step 3: Cross multiply
    106,989x = 165,571.50 × 165,571.50
  4. Step 4: Simplify right side
    106,989x = 27,413,921,612.25
  5. Step 5: Solve for x
    x = 27,413,921,612.25/106,989
  6. Step 6: Final answer
    x = 256,231.22

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