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Finding the Third Proportional to 91,444 and 195,569

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Solution

The third proportional to 91,444 and 195,569 is: 418,258.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,444 : 195,569 = 195,569 : x
  2. Step 2: Convert to fraction form
    91,444/195,569 = 195,569/x
  3. Step 3: Cross multiply
    91,444x = 195,569 × 195,569
  4. Step 4: Simplify right side
    91,444x = 38,247,233,761
  5. Step 5: Solve for x
    x = 38,247,233,761/91,444
  6. Step 6: Final answer
    x = 418,258.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.