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Finding the Third Proportional to 50,800 and 108,928

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Solution

The third proportional to 50,800 and 108,928 is: 233,569.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,800 : 108,928 = 108,928 : x
  2. Step 2: Convert to fraction form
    50,800/108,928 = 108,928/x
  3. Step 3: Cross multiply
    50,800x = 108,928 × 108,928
  4. Step 4: Simplify right side
    50,800x = 11,865,309,184
  5. Step 5: Solve for x
    x = 11,865,309,184/50,800
  6. Step 6: Final answer
    x = 233,569.08

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