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Finding the Third Proportional to 106,464.38 and 164,822.34

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Solution

The third proportional to 106,464.38 and 164,822.34 is: 255,168.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,464.38 : 164,822.34 = 164,822.34 : x
  2. Step 2: Convert to fraction form
    106,464.38/164,822.34 = 164,822.34/x
  3. Step 3: Cross multiply
    106,464.38x = 164,822.34 × 164,822.34
  4. Step 4: Simplify right side
    106,464.38x = 27,166,404,999.24
  5. Step 5: Solve for x
    x = 27,166,404,999.24/106,464.38
  6. Step 6: Final answer
    x = 255,168.97

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