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Finding the Third Proportional to 49,481.50 and 103,823

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Solution

The third proportional to 49,481.50 and 103,823 is: 217,843.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,481.50 : 103,823 = 103,823 : x
  2. Step 2: Convert to fraction form
    49,481.50/103,823 = 103,823/x
  3. Step 3: Cross multiply
    49,481.50x = 103,823 × 103,823
  4. Step 4: Simplify right side
    49,481.50x = 10,779,215,329
  5. Step 5: Solve for x
    x = 10,779,215,329/49,481.50
  6. Step 6: Final answer
    x = 217,843.34

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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.