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Finding the Third Proportional to 46,296 and 95,868

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Solution

The third proportional to 46,296 and 95,868 is: 198,519.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,296 : 95,868 = 95,868 : x
  2. Step 2: Convert to fraction form
    46,296/95,868 = 95,868/x
  3. Step 3: Cross multiply
    46,296x = 95,868 × 95,868
  4. Step 4: Simplify right side
    46,296x = 9,190,673,424
  5. Step 5: Solve for x
    x = 9,190,673,424/46,296
  6. Step 6: Final answer
    x = 198,519.82

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.