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Finding the Third Proportional to 47,115.18 and 101,611.49

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Solution

The third proportional to 47,115.18 and 101,611.49 is: 219,141.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,115.18 : 101,611.49 = 101,611.49 : x
  2. Step 2: Convert to fraction form
    47,115.18/101,611.49 = 101,611.49/x
  3. Step 3: Cross multiply
    47,115.18x = 101,611.49 × 101,611.49
  4. Step 4: Simplify right side
    47,115.18x = 10,324,895,741.49
  5. Step 5: Solve for x
    x = 10,324,895,741.49/47,115.18
  6. Step 6: Final answer
    x = 219,141.57

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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.