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Finding the Third Proportional to 95,119 and 200,848

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Solution

The third proportional to 95,119 and 200,848 is: 424,099.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,119 : 200,848 = 200,848 : x
  2. Step 2: Convert to fraction form
    95,119/200,848 = 200,848/x
  3. Step 3: Cross multiply
    95,119x = 200,848 × 200,848
  4. Step 4: Simplify right side
    95,119x = 40,339,919,104
  5. Step 5: Solve for x
    x = 40,339,919,104/95,119
  6. Step 6: Final answer
    x = 424,099.49

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.