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Finding the Third Proportional to 44,289 and 96,847

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Solution

The third proportional to 44,289 and 96,847 is: 211,775.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,289 : 96,847 = 96,847 : x
  2. Step 2: Convert to fraction form
    44,289/96,847 = 96,847/x
  3. Step 3: Cross multiply
    44,289x = 96,847 × 96,847
  4. Step 4: Simplify right side
    44,289x = 9,379,341,409
  5. Step 5: Solve for x
    x = 9,379,341,409/44,289
  6. Step 6: Final answer
    x = 211,775.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.