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Finding the Third Proportional to 92.63 and 214.21

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Solution

The third proportional to 92.63 and 214.21 is: 495.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.63 : 214.21 = 214.21 : x
  2. Step 2: Convert to fraction form
    92.63/214.21 = 214.21/x
  3. Step 3: Cross multiply
    92.63x = 214.21 × 214.21
  4. Step 4: Simplify right side
    92.63x = 45,884.65
  5. Step 5: Solve for x
    x = 45,884.65/92.63
  6. Step 6: Final answer
    x = 495.37

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.