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Finding the Third Proportional to 94,408.50 and 193,191

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Solution

The third proportional to 94,408.50 and 193,191 is: 395,332.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,408.50 : 193,191 = 193,191 : x
  2. Step 2: Convert to fraction form
    94,408.50/193,191 = 193,191/x
  3. Step 3: Cross multiply
    94,408.50x = 193,191 × 193,191
  4. Step 4: Simplify right side
    94,408.50x = 37,322,762,481
  5. Step 5: Solve for x
    x = 37,322,762,481/94,408.50
  6. Step 6: Final answer
    x = 395,332.65

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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.