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Finding the Third Proportional to 94.63 and 199.38

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Solution

The third proportional to 94.63 and 199.38 is: 420.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.63 : 199.38 = 199.38 : x
  2. Step 2: Convert to fraction form
    94.63/199.38 = 199.38/x
  3. Step 3: Cross multiply
    94.63x = 199.38 × 199.38
  4. Step 4: Simplify right side
    94.63x = 39,750.39
  5. Step 5: Solve for x
    x = 39,750.39/94.63
  6. Step 6: Final answer
    x = 420.08

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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.