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Finding the Third Proportional to 47,107.88 and 101,601.75

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Solution

The third proportional to 47,107.88 and 101,601.75 is: 219,133.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,107.88 : 101,601.75 = 101,601.75 : x
  2. Step 2: Convert to fraction form
    47,107.88/101,601.75 = 101,601.75/x
  3. Step 3: Cross multiply
    47,107.88x = 101,601.75 × 101,601.75
  4. Step 4: Simplify right side
    47,107.88x = 10,322,915,603.06
  5. Step 5: Solve for x
    x = 10,322,915,603.06/47,107.88
  6. Step 6: Final answer
    x = 219,133.54

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.