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Finding the Third Proportional to 95,116 and 203,408

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Solution

The third proportional to 95,116 and 203,408 is: 434,993.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,116 : 203,408 = 203,408 : x
  2. Step 2: Convert to fraction form
    95,116/203,408 = 203,408/x
  3. Step 3: Cross multiply
    95,116x = 203,408 × 203,408
  4. Step 4: Simplify right side
    95,116x = 41,374,814,464
  5. Step 5: Solve for x
    x = 41,374,814,464/95,116
  6. Step 6: Final answer
    x = 434,993.21

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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.