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Finding the Third Proportional to 90.09 and 180.19

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Solution

The third proportional to 90.09 and 180.19 is: 360.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.09 : 180.19 = 180.19 : x
  2. Step 2: Convert to fraction form
    90.09/180.19 = 180.19/x
  3. Step 3: Cross multiply
    90.09x = 180.19 × 180.19
  4. Step 4: Simplify right side
    90.09x = 32,467.54
  5. Step 5: Solve for x
    x = 32,467.54/90.09
  6. Step 6: Final answer
    x = 360.38

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Why These Related Problems?

These problems maintain the same ratio (2) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.