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Finding the Third Proportional to 54,000.11 and 111,447.30

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Solution

The third proportional to 54,000.11 and 111,447.30 is: 230,008.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,000.11 : 111,447.30 = 111,447.30 : x
  2. Step 2: Convert to fraction form
    54,000.11/111,447.30 = 111,447.30/x
  3. Step 3: Cross multiply
    54,000.11x = 111,447.30 × 111,447.30
  4. Step 4: Simplify right side
    54,000.11x = 12,420,500,416.08
  5. Step 5: Solve for x
    x = 12,420,500,416.08/54,000.11
  6. Step 6: Final answer
    x = 230,008.82

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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.