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Finding the Third Proportional to 90,968 and 193,600

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Solution

The third proportional to 90,968 and 193,600 is: 412,023.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,968 : 193,600 = 193,600 : x
  2. Step 2: Convert to fraction form
    90,968/193,600 = 193,600/x
  3. Step 3: Cross multiply
    90,968x = 193,600 × 193,600
  4. Step 4: Simplify right side
    90,968x = 37,480,960,000
  5. Step 5: Solve for x
    x = 37,480,960,000/90,968
  6. Step 6: Final answer
    x = 412,023.57

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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.