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Finding the Third Proportional to 93.71 and 200.23

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Solution

The third proportional to 93.71 and 200.23 is: 427.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.71 : 200.23 = 200.23 : x
  2. Step 2: Convert to fraction form
    93.71/200.23 = 200.23/x
  3. Step 3: Cross multiply
    93.71x = 200.23 × 200.23
  4. Step 4: Simplify right side
    93.71x = 40,090.38
  5. Step 5: Solve for x
    x = 40,090.38/93.71
  6. Step 6: Final answer
    x = 427.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.