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Finding the Third Proportional to 49,123.13 and 100,307.25

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Solution

The third proportional to 49,123.13 and 100,307.25 is: 204,822.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,123.13 : 100,307.25 = 100,307.25 : x
  2. Step 2: Convert to fraction form
    49,123.13/100,307.25 = 100,307.25/x
  3. Step 3: Cross multiply
    49,123.13x = 100,307.25 × 100,307.25
  4. Step 4: Simplify right side
    49,123.13x = 10,061,544,402.56
  5. Step 5: Solve for x
    x = 10,061,544,402.56/49,123.13
  6. Step 6: Final answer
    x = 204,822.97

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.