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Finding the Third Proportional to 91,442 and 195,565

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Solution

The third proportional to 91,442 and 195,565 is: 418,250.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,442 : 195,565 = 195,565 : x
  2. Step 2: Convert to fraction form
    91,442/195,565 = 195,565/x
  3. Step 3: Cross multiply
    91,442x = 195,565 × 195,565
  4. Step 4: Simplify right side
    91,442x = 38,245,669,225
  5. Step 5: Solve for x
    x = 38,245,669,225/91,442
  6. Step 6: Final answer
    x = 418,250.58

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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.