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Finding the Third Proportional to 91,919 and 193,114

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Solution

The third proportional to 91,919 and 193,114 is: 405,716.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,919 : 193,114 = 193,114 : x
  2. Step 2: Convert to fraction form
    91,919/193,114 = 193,114/x
  3. Step 3: Cross multiply
    91,919x = 193,114 × 193,114
  4. Step 4: Simplify right side
    91,919x = 37,293,016,996
  5. Step 5: Solve for x
    x = 37,293,016,996/91,919
  6. Step 6: Final answer
    x = 405,716.09

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.