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Finding the Third Proportional to 92.03 and 199.06

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Solution

The third proportional to 92.03 and 199.06 is: 430.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.03 : 199.06 = 199.06 : x
  2. Step 2: Convert to fraction form
    92.03/199.06 = 199.06/x
  3. Step 3: Cross multiply
    92.03x = 199.06 × 199.06
  4. Step 4: Simplify right side
    92.03x = 39,625.88
  5. Step 5: Solve for x
    x = 39,625.88/92.03
  6. Step 6: Final answer
    x = 430.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.