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Finding the Third Proportional to 48,323 and 98,012

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Solution

The third proportional to 48,323 and 98,012 is: 198,794.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,323 : 98,012 = 98,012 : x
  2. Step 2: Convert to fraction form
    48,323/98,012 = 98,012/x
  3. Step 3: Cross multiply
    48,323x = 98,012 × 98,012
  4. Step 4: Simplify right side
    48,323x = 9,606,352,144
  5. Step 5: Solve for x
    x = 9,606,352,144/48,323
  6. Step 6: Final answer
    x = 198,794.61

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.