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Finding the Third Proportional to 95.09 and 205.00

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Solution

The third proportional to 95.09 and 205.00 is: 441.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.09 : 205.00 = 205.00 : x
  2. Step 2: Convert to fraction form
    95.09/205.00 = 205.00/x
  3. Step 3: Cross multiply
    95.09x = 205.00 × 205.00
  4. Step 4: Simplify right side
    95.09x = 42,027.00
  5. Step 5: Solve for x
    x = 42,027.00/95.09
  6. Step 6: Final answer
    x = 441.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.