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Finding the Third Proportional to 49,138.31 and 104,716.13

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Solution

The third proportional to 49,138.31 and 104,716.13 is: 223,155.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,138.31 : 104,716.13 = 104,716.13 : x
  2. Step 2: Convert to fraction form
    49,138.31/104,716.13 = 104,716.13/x
  3. Step 3: Cross multiply
    49,138.31x = 104,716.13 × 104,716.13
  4. Step 4: Simplify right side
    49,138.31x = 10,965,466,835.02
  5. Step 5: Solve for x
    x = 10,965,466,835.02/49,138.31
  6. Step 6: Final answer
    x = 223,155.14

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.