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Finding the Third Proportional to 46,916 and 95,741

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Solution

The third proportional to 46,916 and 95,741 is: 195,377.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,916 : 95,741 = 95,741 : x
  2. Step 2: Convert to fraction form
    46,916/95,741 = 95,741/x
  3. Step 3: Cross multiply
    46,916x = 95,741 × 95,741
  4. Step 4: Simplify right side
    46,916x = 9,166,339,081
  5. Step 5: Solve for x
    x = 9,166,339,081/46,916
  6. Step 6: Final answer
    x = 195,377.68

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.