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Finding the Third Proportional to 88.69 and 188.19

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Solution

The third proportional to 88.69 and 188.19 is: 399.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.69 : 188.19 = 188.19 : x
  2. Step 2: Convert to fraction form
    88.69/188.19 = 188.19/x
  3. Step 3: Cross multiply
    88.69x = 188.19 × 188.19
  4. Step 4: Simplify right side
    88.69x = 35,414.54
  5. Step 5: Solve for x
    x = 35,414.54/88.69
  6. Step 6: Final answer
    x = 399.32

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.