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Finding the Third Proportional to 91,589 and 193,018

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Solution

The third proportional to 91,589 and 193,018 is: 406,773.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,589 : 193,018 = 193,018 : x
  2. Step 2: Convert to fraction form
    91,589/193,018 = 193,018/x
  3. Step 3: Cross multiply
    91,589x = 193,018 × 193,018
  4. Step 4: Simplify right side
    91,589x = 37,255,948,324
  5. Step 5: Solve for x
    x = 37,255,948,324/91,589
  6. Step 6: Final answer
    x = 406,773.17

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Why These Related Problems?

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