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Finding the Third Proportional to 47,891.81 and 104,073.19

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Solution

The third proportional to 47,891.81 and 104,073.19 is: 226,160.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,891.81 : 104,073.19 = 104,073.19 : x
  2. Step 2: Convert to fraction form
    47,891.81/104,073.19 = 104,073.19/x
  3. Step 3: Cross multiply
    47,891.81x = 104,073.19 × 104,073.19
  4. Step 4: Simplify right side
    47,891.81x = 10,831,228,356.41
  5. Step 5: Solve for x
    x = 10,831,228,356.41/47,891.81
  6. Step 6: Final answer
    x = 226,160.33

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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.