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Finding the Third Proportional to 103,219.21 and 226,736.40

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Solution

The third proportional to 103,219.21 and 226,736.40 is: 498,060.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,219.21 : 226,736.40 = 226,736.40 : x
  2. Step 2: Convert to fraction form
    103,219.21/226,736.40 = 226,736.40/x
  3. Step 3: Cross multiply
    103,219.21x = 226,736.40 × 226,736.40
  4. Step 4: Simplify right side
    103,219.21x = 51,409,396,147.79
  5. Step 5: Solve for x
    x = 51,409,396,147.79/103,219.21
  6. Step 6: Final answer
    x = 498,060.37

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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.