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Finding the Third Proportional to 91,444 and 199,976

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Solution

The third proportional to 91,444 and 199,976 is: 437,321.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,444 : 199,976 = 199,976 : x
  2. Step 2: Convert to fraction form
    91,444/199,976 = 199,976/x
  3. Step 3: Cross multiply
    91,444x = 199,976 × 199,976
  4. Step 4: Simplify right side
    91,444x = 39,990,400,576
  5. Step 5: Solve for x
    x = 39,990,400,576/91,444
  6. Step 6: Final answer
    x = 437,321.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.