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Finding the Third Proportional to 90,942.75 and 193,390.03

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Solution

The third proportional to 90,942.75 and 193,390.03 is: 411,244.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,942.75 : 193,390.03 = 193,390.03 : x
  2. Step 2: Convert to fraction form
    90,942.75/193,390.03 = 193,390.03/x
  3. Step 3: Cross multiply
    90,942.75x = 193,390.03 × 193,390.03
  4. Step 4: Simplify right side
    90,942.75x = 37,399,704,186.88
  5. Step 5: Solve for x
    x = 37,399,704,186.88/90,942.75
  6. Step 6: Final answer
    x = 411,244.48

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.