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Finding the Third Proportional to 200.16 and 200.16

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Solution

The third proportional to 200.16 and 200.16 is: 200.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.16 : 200.16 = 200.16 : x
  2. Step 2: Convert to fraction form
    200.16/200.16 = 200.16/x
  3. Step 3: Cross multiply
    200.16x = 200.16 × 200.16
  4. Step 4: Simplify right side
    200.16x = 40,062.52
  5. Step 5: Solve for x
    x = 40,062.52/200.16
  6. Step 6: Final answer
    x = 200.16

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Why These Related Problems?

These problems maintain the same ratio (1) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.