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Finding the Third Proportional to 97,791.75 and 214,267.25

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Solution

The third proportional to 97,791.75 and 214,267.25 is: 469,471.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,791.75 : 214,267.25 = 214,267.25 : x
  2. Step 2: Convert to fraction form
    97,791.75/214,267.25 = 214,267.25/x
  3. Step 3: Cross multiply
    97,791.75x = 214,267.25 × 214,267.25
  4. Step 4: Simplify right side
    97,791.75x = 45,910,454,422.56
  5. Step 5: Solve for x
    x = 45,910,454,422.56/97,791.75
  6. Step 6: Final answer
    x = 469,471.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.