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Finding the Third Proportional to 92.90 and 198.62

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Solution

The third proportional to 92.90 and 198.62 is: 424.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.90 : 198.62 = 198.62 : x
  2. Step 2: Convert to fraction form
    92.90/198.62 = 198.62/x
  3. Step 3: Cross multiply
    92.90x = 198.62 × 198.62
  4. Step 4: Simplify right side
    92.90x = 39,451.50
  5. Step 5: Solve for x
    x = 39,451.50/92.90
  6. Step 6: Final answer
    x = 424.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.