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Finding the Third Proportional to 40,003.88 and 96,000.19

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Solution

The third proportional to 40,003.88 and 96,000.19 is: 230,378.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,003.88 : 96,000.19 = 96,000.19 : x
  2. Step 2: Convert to fraction form
    40,003.88/96,000.19 = 96,000.19/x
  3. Step 3: Cross multiply
    40,003.88x = 96,000.19 × 96,000.19
  4. Step 4: Simplify right side
    40,003.88x = 9,216,036,000.04
  5. Step 5: Solve for x
    x = 9,216,036,000.04/40,003.88
  6. Step 6: Final answer
    x = 230,378.58

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.