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Finding the Third Proportional to 45,311 and 98,398

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Solution

The third proportional to 45,311 and 98,398 is: 213,682.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,311 : 98,398 = 98,398 : x
  2. Step 2: Convert to fraction form
    45,311/98,398 = 98,398/x
  3. Step 3: Cross multiply
    45,311x = 98,398 × 98,398
  4. Step 4: Simplify right side
    45,311x = 9,682,166,404
  5. Step 5: Solve for x
    x = 9,682,166,404/45,311
  6. Step 6: Final answer
    x = 213,682.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.