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Finding the Third Proportional to 48,822 and 99,000

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Solution

The third proportional to 48,822 and 99,000 is: 200,749.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,822 : 99,000 = 99,000 : x
  2. Step 2: Convert to fraction form
    48,822/99,000 = 99,000/x
  3. Step 3: Cross multiply
    48,822x = 99,000 × 99,000
  4. Step 4: Simplify right side
    48,822x = 9,801,000,000
  5. Step 5: Solve for x
    x = 9,801,000,000/48,822
  6. Step 6: Final answer
    x = 200,749.66

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