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Finding the Third Proportional to 48,199 and 104,443

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Solution

The third proportional to 48,199 and 104,443 is: 226,318.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,199 : 104,443 = 104,443 : x
  2. Step 2: Convert to fraction form
    48,199/104,443 = 104,443/x
  3. Step 3: Cross multiply
    48,199x = 104,443 × 104,443
  4. Step 4: Simplify right side
    48,199x = 10,908,340,249
  5. Step 5: Solve for x
    x = 10,908,340,249/48,199
  6. Step 6: Final answer
    x = 226,318.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.