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Finding the Third Proportional to 95,391 and 221,791.50

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Solution

The third proportional to 95,391 and 221,791.50 is: 515,682.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,391 : 221,791.50 = 221,791.50 : x
  2. Step 2: Convert to fraction form
    95,391/221,791.50 = 221,791.50/x
  3. Step 3: Cross multiply
    95,391x = 221,791.50 × 221,791.50
  4. Step 4: Simplify right side
    95,391x = 49,191,469,472.25
  5. Step 5: Solve for x
    x = 49,191,469,472.25/95,391
  6. Step 6: Final answer
    x = 515,682.50

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.