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Finding the Third Proportional to 109.03 and 201.84

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Solution

The third proportional to 109.03 and 201.84 is: 373.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.03 : 201.84 = 201.84 : x
  2. Step 2: Convert to fraction form
    109.03/201.84 = 201.84/x
  3. Step 3: Cross multiply
    109.03x = 201.84 × 201.84
  4. Step 4: Simplify right side
    109.03x = 40,740.90
  5. Step 5: Solve for x
    x = 40,740.90/109.03
  6. Step 6: Final answer
    x = 373.66

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.