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Finding the Third Proportional to 106,218 and 157,882.50

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Solution

The third proportional to 106,218 and 157,882.50 is: 234,676.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,218 : 157,882.50 = 157,882.50 : x
  2. Step 2: Convert to fraction form
    106,218/157,882.50 = 157,882.50/x
  3. Step 3: Cross multiply
    106,218x = 157,882.50 × 157,882.50
  4. Step 4: Simplify right side
    106,218x = 24,926,883,806.25
  5. Step 5: Solve for x
    x = 24,926,883,806.25/106,218
  6. Step 6: Final answer
    x = 234,676.64

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