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Finding the Third Proportional to 91.66 and 203.58

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Solution

The third proportional to 91.66 and 203.58 is: 452.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.66 : 203.58 = 203.58 : x
  2. Step 2: Convert to fraction form
    91.66/203.58 = 203.58/x
  3. Step 3: Cross multiply
    91.66x = 203.58 × 203.58
  4. Step 4: Simplify right side
    91.66x = 41,444.05
  5. Step 5: Solve for x
    x = 41,444.05/91.66
  6. Step 6: Final answer
    x = 452.13

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.