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Finding the Third Proportional to 49 and 99.63

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Solution

The third proportional to 49 and 99.63 is: 202.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    49 : 99.63 = 99.63 : x
  2. Step 2: Convert to fraction form
    49/99.63 = 99.63/x
  3. Step 3: Cross multiply
    49x = 99.63 × 99.63
  4. Step 4: Simplify right side
    49x = 9,925.14
  5. Step 5: Solve for x
    x = 9,925.14/49
  6. Step 6: Final answer
    x = 202.55

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.