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Finding the Third Proportional to 48,218 and 98,785

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Solution

The third proportional to 48,218 and 98,785 is: 202,382.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,218 : 98,785 = 98,785 : x
  2. Step 2: Convert to fraction form
    48,218/98,785 = 98,785/x
  3. Step 3: Cross multiply
    48,218x = 98,785 × 98,785
  4. Step 4: Simplify right side
    48,218x = 9,758,476,225
  5. Step 5: Solve for x
    x = 9,758,476,225/48,218
  6. Step 6: Final answer
    x = 202,382.43

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.