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Finding the Third Proportional to 47,805.50 and 105,047.50

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Solution

The third proportional to 47,805.50 and 105,047.50 is: 230,830.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,805.50 : 105,047.50 = 105,047.50 : x
  2. Step 2: Convert to fraction form
    47,805.50/105,047.50 = 105,047.50/x
  3. Step 3: Cross multiply
    47,805.50x = 105,047.50 × 105,047.50
  4. Step 4: Simplify right side
    47,805.50x = 11,034,977,256.25
  5. Step 5: Solve for x
    x = 11,034,977,256.25/47,805.50
  6. Step 6: Final answer
    x = 230,830.70

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