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Finding the Third Proportional to 41,983.88 and 90,464.63

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Solution

The third proportional to 41,983.88 and 90,464.63 is: 194,928.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,983.88 : 90,464.63 = 90,464.63 : x
  2. Step 2: Convert to fraction form
    41,983.88/90,464.63 = 90,464.63/x
  3. Step 3: Cross multiply
    41,983.88x = 90,464.63 × 90,464.63
  4. Step 4: Simplify right side
    41,983.88x = 8,183,848,376.39
  5. Step 5: Solve for x
    x = 8,183,848,376.39/41,983.88
  6. Step 6: Final answer
    x = 194,928.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.