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Finding the Third Proportional to 89.06 and 195.64

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Solution

The third proportional to 89.06 and 195.64 is: 429.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.06 : 195.64 = 195.64 : x
  2. Step 2: Convert to fraction form
    89.06/195.64 = 195.64/x
  3. Step 3: Cross multiply
    89.06x = 195.64 × 195.64
  4. Step 4: Simplify right side
    89.06x = 38,275.25
  5. Step 5: Solve for x
    x = 38,275.25/89.06
  6. Step 6: Final answer
    x = 429.76

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.