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Finding the Third Proportional to 48,330 and 98,026

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Solution

The third proportional to 48,330 and 98,026 is: 198,822.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,330 : 98,026 = 98,026 : x
  2. Step 2: Convert to fraction form
    48,330/98,026 = 98,026/x
  3. Step 3: Cross multiply
    48,330x = 98,026 × 98,026
  4. Step 4: Simplify right side
    48,330x = 9,609,096,676
  5. Step 5: Solve for x
    x = 9,609,096,676/48,330
  6. Step 6: Final answer
    x = 198,822.61

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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.