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Finding the Third Proportional to 48,211.50 and 103,821

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Solution

The third proportional to 48,211.50 and 103,821 is: 223,573.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,211.50 : 103,821 = 103,821 : x
  2. Step 2: Convert to fraction form
    48,211.50/103,821 = 103,821/x
  3. Step 3: Cross multiply
    48,211.50x = 103,821 × 103,821
  4. Step 4: Simplify right side
    48,211.50x = 10,778,800,041
  5. Step 5: Solve for x
    x = 10,778,800,041/48,211.50
  6. Step 6: Final answer
    x = 223,573.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.