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Finding the Third Proportional to 47,211.75 and 101,963.75

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Solution

The third proportional to 47,211.75 and 101,963.75 is: 220,212.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,211.75 : 101,963.75 = 101,963.75 : x
  2. Step 2: Convert to fraction form
    47,211.75/101,963.75 = 101,963.75/x
  3. Step 3: Cross multiply
    47,211.75x = 101,963.75 × 101,963.75
  4. Step 4: Simplify right side
    47,211.75x = 10,396,606,314.06
  5. Step 5: Solve for x
    x = 10,396,606,314.06/47,211.75
  6. Step 6: Final answer
    x = 220,212.26

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Why These Related Problems?

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