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Finding the Third Proportional to 90,550.50 and 196,683

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Solution

The third proportional to 90,550.50 and 196,683 is: 427,211.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,550.50 : 196,683 = 196,683 : x
  2. Step 2: Convert to fraction form
    90,550.50/196,683 = 196,683/x
  3. Step 3: Cross multiply
    90,550.50x = 196,683 × 196,683
  4. Step 4: Simplify right side
    90,550.50x = 38,684,202,489
  5. Step 5: Solve for x
    x = 38,684,202,489/90,550.50
  6. Step 6: Final answer
    x = 427,211.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.