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Finding the Third Proportional to 91,538.25 and 192,918

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Solution

The third proportional to 91,538.25 and 192,918 is: 406,577.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,538.25 : 192,918 = 192,918 : x
  2. Step 2: Convert to fraction form
    91,538.25/192,918 = 192,918/x
  3. Step 3: Cross multiply
    91,538.25x = 192,918 × 192,918
  4. Step 4: Simplify right side
    91,538.25x = 37,217,354,724
  5. Step 5: Solve for x
    x = 37,217,354,724/91,538.25
  6. Step 6: Final answer
    x = 406,577.08

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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.