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Finding the Third Proportional to 48,218 and 103,838

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Solution

The third proportional to 48,218 and 103,838 is: 223,616.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,218 : 103,838 = 103,838 : x
  2. Step 2: Convert to fraction form
    48,218/103,838 = 103,838/x
  3. Step 3: Cross multiply
    48,218x = 103,838 × 103,838
  4. Step 4: Simplify right side
    48,218x = 10,782,330,244
  5. Step 5: Solve for x
    x = 10,782,330,244/48,218
  6. Step 6: Final answer
    x = 223,616.29

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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.