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Finding the Third Proportional to 48,593.81 and 104,568.19

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Solution

The third proportional to 48,593.81 and 104,568.19 is: 225,018.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,593.81 : 104,568.19 = 104,568.19 : x
  2. Step 2: Convert to fraction form
    48,593.81/104,568.19 = 104,568.19/x
  3. Step 3: Cross multiply
    48,593.81x = 104,568.19 × 104,568.19
  4. Step 4: Simplify right side
    48,593.81x = 10,934,505,837.04
  5. Step 5: Solve for x
    x = 10,934,505,837.04/48,593.81
  6. Step 6: Final answer
    x = 225,018.48

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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.