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Finding the Third Proportional to 47,334.38 and 102,049.88

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Solution

The third proportional to 47,334.38 and 102,049.88 is: 220,012.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,334.38 : 102,049.88 = 102,049.88 : x
  2. Step 2: Convert to fraction form
    47,334.38/102,049.88 = 102,049.88/x
  3. Step 3: Cross multiply
    47,334.38x = 102,049.88 × 102,049.88
  4. Step 4: Simplify right side
    47,334.38x = 10,414,176,987.52
  5. Step 5: Solve for x
    x = 10,414,176,987.52/47,334.38
  6. Step 6: Final answer
    x = 220,012.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.