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Finding the Third Proportional to 106,984.97 and 165,566.53

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Solution

The third proportional to 106,984.97 and 165,566.53 is: 256,225.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,984.97 : 165,566.53 = 165,566.53 : x
  2. Step 2: Convert to fraction form
    106,984.97/165,566.53 = 165,566.53/x
  3. Step 3: Cross multiply
    106,984.97x = 165,566.53 × 165,566.53
  4. Step 4: Simplify right side
    106,984.97x = 27,412,276,270.16
  5. Step 5: Solve for x
    x = 27,412,276,270.16/106,984.97
  6. Step 6: Final answer
    x = 256,225.49

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