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Finding the Third Proportional to 95,453 and 197,512

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Solution

The third proportional to 95,453 and 197,512 is: 408,693.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,453 : 197,512 = 197,512 : x
  2. Step 2: Convert to fraction form
    95,453/197,512 = 197,512/x
  3. Step 3: Cross multiply
    95,453x = 197,512 × 197,512
  4. Step 4: Simplify right side
    95,453x = 39,010,990,144
  5. Step 5: Solve for x
    x = 39,010,990,144/95,453
  6. Step 6: Final answer
    x = 408,693.18

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.