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Finding the Third Proportional to 1.99 and 2.31

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Solution

The third proportional to 1.99 and 2.31 is: 2.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.99 : 2.31 = 2.31 : x
  2. Step 2: Convert to fraction form
    1.99/2.31 = 2.31/x
  3. Step 3: Cross multiply
    1.99x = 2.31 × 2.31
  4. Step 4: Simplify right side
    1.99x = 5.34
  5. Step 5: Solve for x
    x = 5.34/1.99
  6. Step 6: Final answer
    x = 2.68

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.