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Finding the Third Proportional to 93.19 and 199.92

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Solution

The third proportional to 93.19 and 199.92 is: 428.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.19 : 199.92 = 199.92 : x
  2. Step 2: Convert to fraction form
    93.19/199.92 = 199.92/x
  3. Step 3: Cross multiply
    93.19x = 199.92 × 199.92
  4. Step 4: Simplify right side
    93.19x = 39,968.76
  5. Step 5: Solve for x
    x = 39,968.76/93.19
  6. Step 6: Final answer
    x = 428.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.