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Finding the Third Proportional to 101,114.25 and 222,102.75

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Solution

The third proportional to 101,114.25 and 222,102.75 is: 487,860.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,114.25 : 222,102.75 = 222,102.75 : x
  2. Step 2: Convert to fraction form
    101,114.25/222,102.75 = 222,102.75/x
  3. Step 3: Cross multiply
    101,114.25x = 222,102.75 × 222,102.75
  4. Step 4: Simplify right side
    101,114.25x = 49,329,631,557.56
  5. Step 5: Solve for x
    x = 49,329,631,557.56/101,114.25
  6. Step 6: Final answer
    x = 487,860.33

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.