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Finding the Third Proportional to 45,231 and 98,493

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Solution

The third proportional to 45,231 and 98,493 is: 214,473.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,231 : 98,493 = 98,493 : x
  2. Step 2: Convert to fraction form
    45,231/98,493 = 98,493/x
  3. Step 3: Cross multiply
    45,231x = 98,493 × 98,493
  4. Step 4: Simplify right side
    45,231x = 9,700,871,049
  5. Step 5: Solve for x
    x = 9,700,871,049/45,231
  6. Step 6: Final answer
    x = 214,473.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.