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Finding the Third Proportional to 95,705 and 199,282

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Solution

The third proportional to 95,705 and 199,282 is: 414,955.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,705 : 199,282 = 199,282 : x
  2. Step 2: Convert to fraction form
    95,705/199,282 = 199,282/x
  3. Step 3: Cross multiply
    95,705x = 199,282 × 199,282
  4. Step 4: Simplify right side
    95,705x = 39,713,315,524
  5. Step 5: Solve for x
    x = 39,713,315,524/95,705
  6. Step 6: Final answer
    x = 414,955.49

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.