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Finding the Third Proportional to 46,474 and 100,398

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Solution

The third proportional to 46,474 and 100,398 is: 216,890.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,474 : 100,398 = 100,398 : x
  2. Step 2: Convert to fraction form
    46,474/100,398 = 100,398/x
  3. Step 3: Cross multiply
    46,474x = 100,398 × 100,398
  4. Step 4: Simplify right side
    46,474x = 10,079,758,404
  5. Step 5: Solve for x
    x = 10,079,758,404/46,474
  6. Step 6: Final answer
    x = 216,890.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.