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Finding the Third Proportional to 21,196.69 and 50,905.97

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Solution

The third proportional to 21,196.69 and 50,905.97 is: 122,255.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,196.69 : 50,905.97 = 50,905.97 : x
  2. Step 2: Convert to fraction form
    21,196.69/50,905.97 = 50,905.97/x
  3. Step 3: Cross multiply
    21,196.69x = 50,905.97 × 50,905.97
  4. Step 4: Simplify right side
    21,196.69x = 2,591,417,654.38
  5. Step 5: Solve for x
    x = 2,591,417,654.38/21,196.69
  6. Step 6: Final answer
    x = 122,255.78

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These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.