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Finding the Third Proportional to 111,944.25 and 236,523.50

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Solution

The third proportional to 111,944.25 and 236,523.50 is: 499,743.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,944.25 : 236,523.50 = 236,523.50 : x
  2. Step 2: Convert to fraction form
    111,944.25/236,523.50 = 236,523.50/x
  3. Step 3: Cross multiply
    111,944.25x = 236,523.50 × 236,523.50
  4. Step 4: Simplify right side
    111,944.25x = 55,943,366,052.25
  5. Step 5: Solve for x
    x = 55,943,366,052.25/111,944.25
  6. Step 6: Final answer
    x = 499,743.10

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.