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Finding the Third Proportional to 49,338 and 103,833.56

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Solution

The third proportional to 49,338 and 103,833.56 is: 218,521.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,338 : 103,833.56 = 103,833.56 : x
  2. Step 2: Convert to fraction form
    49,338/103,833.56 = 103,833.56/x
  3. Step 3: Cross multiply
    49,338x = 103,833.56 × 103,833.56
  4. Step 4: Simplify right side
    49,338x = 10,781,408,701.44
  5. Step 5: Solve for x
    x = 10,781,408,701.44/49,338
  6. Step 6: Final answer
    x = 218,521.40

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.