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Finding the Third Proportional to 47,324.25 and 103,011.75

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Solution

The third proportional to 47,324.25 and 103,011.75 is: 224,227.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,324.25 : 103,011.75 = 103,011.75 : x
  2. Step 2: Convert to fraction form
    47,324.25/103,011.75 = 103,011.75/x
  3. Step 3: Cross multiply
    47,324.25x = 103,011.75 × 103,011.75
  4. Step 4: Simplify right side
    47,324.25x = 10,611,420,638.06
  5. Step 5: Solve for x
    x = 10,611,420,638.06/47,324.25
  6. Step 6: Final answer
    x = 224,227.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.