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Finding the Third Proportional to 101,236.50 and 222,311.50

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Solution

The third proportional to 101,236.50 and 222,311.50 is: 488,187.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,236.50 : 222,311.50 = 222,311.50 : x
  2. Step 2: Convert to fraction form
    101,236.50/222,311.50 = 222,311.50/x
  3. Step 3: Cross multiply
    101,236.50x = 222,311.50 × 222,311.50
  4. Step 4: Simplify right side
    101,236.50x = 49,422,403,032.25
  5. Step 5: Solve for x
    x = 49,422,403,032.25/101,236.50
  6. Step 6: Final answer
    x = 488,187.59

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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.