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Finding the Third Proportional to 48,199 and 104,441

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Solution

The third proportional to 48,199 and 104,441 is: 226,310.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,199 : 104,441 = 104,441 : x
  2. Step 2: Convert to fraction form
    48,199/104,441 = 104,441/x
  3. Step 3: Cross multiply
    48,199x = 104,441 × 104,441
  4. Step 4: Simplify right side
    48,199x = 10,907,922,481
  5. Step 5: Solve for x
    x = 10,907,922,481/48,199
  6. Step 6: Final answer
    x = 226,310.14

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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.