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Finding the Third Proportional to 48,060.84 and 103,229.44

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Solution

The third proportional to 48,060.84 and 103,229.44 is: 221,725.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,060.84 : 103,229.44 = 103,229.44 : x
  2. Step 2: Convert to fraction form
    48,060.84/103,229.44 = 103,229.44/x
  3. Step 3: Cross multiply
    48,060.84x = 103,229.44 × 103,229.44
  4. Step 4: Simplify right side
    48,060.84x = 10,656,316,766.57
  5. Step 5: Solve for x
    x = 10,656,316,766.57/48,060.84
  6. Step 6: Final answer
    x = 221,725.54

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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.