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Finding the Third Proportional to 106,347.09 and 164,748.94

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Solution

The third proportional to 106,347.09 and 164,748.94 is: 255,222.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,347.09 : 164,748.94 = 164,748.94 : x
  2. Step 2: Convert to fraction form
    106,347.09/164,748.94 = 164,748.94/x
  3. Step 3: Cross multiply
    106,347.09x = 164,748.94 × 164,748.94
  4. Step 4: Simplify right side
    106,347.09x = 27,142,212,407.38
  5. Step 5: Solve for x
    x = 27,142,212,407.38/106,347.09
  6. Step 6: Final answer
    x = 255,222.89

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