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Finding the Third Proportional to 94,558 and 193,988

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Solution

The third proportional to 94,558 and 193,988 is: 397,971.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,558 : 193,988 = 193,988 : x
  2. Step 2: Convert to fraction form
    94,558/193,988 = 193,988/x
  3. Step 3: Cross multiply
    94,558x = 193,988 × 193,988
  4. Step 4: Simplify right side
    94,558x = 37,631,344,144
  5. Step 5: Solve for x
    x = 37,631,344,144/94,558
  6. Step 6: Final answer
    x = 397,971.02

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.