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Finding the Third Proportional to 50,383.50 and 109,839

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Solution

The third proportional to 50,383.50 and 109,839 is: 239,455.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,383.50 : 109,839 = 109,839 : x
  2. Step 2: Convert to fraction form
    50,383.50/109,839 = 109,839/x
  3. Step 3: Cross multiply
    50,383.50x = 109,839 × 109,839
  4. Step 4: Simplify right side
    50,383.50x = 12,064,605,921
  5. Step 5: Solve for x
    x = 12,064,605,921/50,383.50
  6. Step 6: Final answer
    x = 239,455.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.