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Finding the Third Proportional to 103,220.44 and 226,738.97

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Solution

The third proportional to 103,220.44 and 226,738.97 is: 498,065.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,220.44 : 226,738.97 = 226,738.97 : x
  2. Step 2: Convert to fraction form
    103,220.44/226,738.97 = 226,738.97/x
  3. Step 3: Cross multiply
    103,220.44x = 226,738.97 × 226,738.97
  4. Step 4: Simplify right side
    103,220.44x = 51,410,559,949.81
  5. Step 5: Solve for x
    x = 51,410,559,949.81/103,220.44
  6. Step 6: Final answer
    x = 498,065.70

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