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Finding the Third Proportional to 47,901.94 and 103,954.22

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Solution

The third proportional to 47,901.94 and 103,954.22 is: 225,595.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,901.94 : 103,954.22 = 103,954.22 : x
  2. Step 2: Convert to fraction form
    47,901.94/103,954.22 = 103,954.22/x
  3. Step 3: Cross multiply
    47,901.94x = 103,954.22 × 103,954.22
  4. Step 4: Simplify right side
    47,901.94x = 10,806,479,595.92
  5. Step 5: Solve for x
    x = 10,806,479,595.92/47,901.94
  6. Step 6: Final answer
    x = 225,595.88

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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.