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Finding the Third Proportional to 49.99 and 99.35

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Solution

The third proportional to 49.99 and 99.35 is: 197.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.99 : 99.35 = 99.35 : x
  2. Step 2: Convert to fraction form
    49.99/99.35 = 99.35/x
  3. Step 3: Cross multiply
    49.99x = 99.35 × 99.35
  4. Step 4: Simplify right side
    49.99x = 9,870.73
  5. Step 5: Solve for x
    x = 9,870.73/49.99
  6. Step 6: Final answer
    x = 197.45

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Why These Related Problems?

These problems maintain the same ratio (1.99) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.