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Finding the Third Proportional to 47,364.75 and 103,634.44

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Solution

The third proportional to 47,364.75 and 103,634.44 is: 226,752.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,364.75 : 103,634.44 = 103,634.44 : x
  2. Step 2: Convert to fraction form
    47,364.75/103,634.44 = 103,634.44/x
  3. Step 3: Cross multiply
    47,364.75x = 103,634.44 × 103,634.44
  4. Step 4: Simplify right side
    47,364.75x = 10,740,096,635.94
  5. Step 5: Solve for x
    x = 10,740,096,635.94/47,364.75
  6. Step 6: Final answer
    x = 226,752.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.