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Finding the Third Proportional to 101,801.75 and 219,211.75

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Solution

The third proportional to 101,801.75 and 219,211.75 is: 472,033.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,801.75 : 219,211.75 = 219,211.75 : x
  2. Step 2: Convert to fraction form
    101,801.75/219,211.75 = 219,211.75/x
  3. Step 3: Cross multiply
    101,801.75x = 219,211.75 × 219,211.75
  4. Step 4: Simplify right side
    101,801.75x = 48,053,791,338.06
  5. Step 5: Solve for x
    x = 48,053,791,338.06/101,801.75
  6. Step 6: Final answer
    x = 472,033.06

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.