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Finding the Third Proportional to 91,622 and 198,050

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Solution

The third proportional to 91,622 and 198,050 is: 428,104.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,622 : 198,050 = 198,050 : x
  2. Step 2: Convert to fraction form
    91,622/198,050 = 198,050/x
  3. Step 3: Cross multiply
    91,622x = 198,050 × 198,050
  4. Step 4: Simplify right side
    91,622x = 39,223,802,500
  5. Step 5: Solve for x
    x = 39,223,802,500/91,622
  6. Step 6: Final answer
    x = 428,104.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.