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Finding the Third Proportional to 158,091.75 and 213,748.88

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Solution

The third proportional to 158,091.75 and 213,748.88 is: 289,000.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,091.75 : 213,748.88 = 213,748.88 : x
  2. Step 2: Convert to fraction form
    158,091.75/213,748.88 = 213,748.88/x
  3. Step 3: Cross multiply
    158,091.75x = 213,748.88 × 213,748.88
  4. Step 4: Simplify right side
    158,091.75x = 45,688,581,563.77
  5. Step 5: Solve for x
    x = 45,688,581,563.77/158,091.75
  6. Step 6: Final answer
    x = 289,000.42

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