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Finding the Third Proportional to 47,219.06 and 102,745.69

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Solution

The third proportional to 47,219.06 and 102,745.69 is: 223,568.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,219.06 : 102,745.69 = 102,745.69 : x
  2. Step 2: Convert to fraction form
    47,219.06/102,745.69 = 102,745.69/x
  3. Step 3: Cross multiply
    47,219.06x = 102,745.69 × 102,745.69
  4. Step 4: Simplify right side
    47,219.06x = 10,556,676,299.85
  5. Step 5: Solve for x
    x = 10,556,676,299.85/47,219.06
  6. Step 6: Final answer
    x = 223,568.10

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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.