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Finding the Third Proportional to 106.95 and 198.70

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Solution

The third proportional to 106.95 and 198.70 is: 369.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.95 : 198.70 = 198.70 : x
  2. Step 2: Convert to fraction form
    106.95/198.70 = 198.70/x
  3. Step 3: Cross multiply
    106.95x = 198.70 × 198.70
  4. Step 4: Simplify right side
    106.95x = 39,482.93
  5. Step 5: Solve for x
    x = 39,482.93/106.95
  6. Step 6: Final answer
    x = 369.19

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.