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Finding the Third Proportional to 47,014.50 and 102,603

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Solution

The third proportional to 47,014.50 and 102,603 is: 223,917.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,014.50 : 102,603 = 102,603 : x
  2. Step 2: Convert to fraction form
    47,014.50/102,603 = 102,603/x
  3. Step 3: Cross multiply
    47,014.50x = 102,603 × 102,603
  4. Step 4: Simplify right side
    47,014.50x = 10,527,375,609
  5. Step 5: Solve for x
    x = 10,527,375,609/47,014.50
  6. Step 6: Final answer
    x = 223,917.63

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