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Finding the Third Proportional to 47,296.50 and 100,911

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Solution

The third proportional to 47,296.50 and 100,911 is: 215,301.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,296.50 : 100,911 = 100,911 : x
  2. Step 2: Convert to fraction form
    47,296.50/100,911 = 100,911/x
  3. Step 3: Cross multiply
    47,296.50x = 100,911 × 100,911
  4. Step 4: Simplify right side
    47,296.50x = 10,183,029,921
  5. Step 5: Solve for x
    x = 10,183,029,921/47,296.50
  6. Step 6: Final answer
    x = 215,301.98

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.