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Finding the Third Proportional to 50,229.19 and 107,449.22

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Solution

The third proportional to 50,229.19 and 107,449.22 is: 229,853.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,229.19 : 107,449.22 = 107,449.22 : x
  2. Step 2: Convert to fraction form
    50,229.19/107,449.22 = 107,449.22/x
  3. Step 3: Cross multiply
    50,229.19x = 107,449.22 × 107,449.22
  4. Step 4: Simplify right side
    50,229.19x = 11,545,334,609.99
  5. Step 5: Solve for x
    x = 11,545,334,609.99/50,229.19
  6. Step 6: Final answer
    x = 229,853.10

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.