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Finding the Third Proportional to 48,000.09 and 99,064.27

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Solution

The third proportional to 48,000.09 and 99,064.27 is: 204,452.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,000.09 : 99,064.27 = 99,064.27 : x
  2. Step 2: Convert to fraction form
    48,000.09/99,064.27 = 99,064.27/x
  3. Step 3: Cross multiply
    48,000.09x = 99,064.27 × 99,064.27
  4. Step 4: Simplify right side
    48,000.09x = 9,813,728,723.82
  5. Step 5: Solve for x
    x = 9,813,728,723.82/48,000.09
  6. Step 6: Final answer
    x = 204,452.28

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.