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Finding the Third Proportional to 50,806 and 108,896

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Solution

The third proportional to 50,806 and 108,896 is: 233,404.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,806 : 108,896 = 108,896 : x
  2. Step 2: Convert to fraction form
    50,806/108,896 = 108,896/x
  3. Step 3: Cross multiply
    50,806x = 108,896 × 108,896
  4. Step 4: Simplify right side
    50,806x = 11,858,338,816
  5. Step 5: Solve for x
    x = 11,858,338,816/50,806
  6. Step 6: Final answer
    x = 233,404.30

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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.