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Finding the Third Proportional to 48,640.50 and 103,138.31

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Solution

The third proportional to 48,640.50 and 103,138.31 is: 218,696.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,640.50 : 103,138.31 = 103,138.31 : x
  2. Step 2: Convert to fraction form
    48,640.50/103,138.31 = 103,138.31/x
  3. Step 3: Cross multiply
    48,640.50x = 103,138.31 × 103,138.31
  4. Step 4: Simplify right side
    48,640.50x = 10,637,511,505.35
  5. Step 5: Solve for x
    x = 10,637,511,505.35/48,640.50
  6. Step 6: Final answer
    x = 218,696.59

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.