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Finding the Third Proportional to 104.63 and 214.31

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Solution

The third proportional to 104.63 and 214.31 is: 438.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.63 : 214.31 = 214.31 : x
  2. Step 2: Convert to fraction form
    104.63/214.31 = 214.31/x
  3. Step 3: Cross multiply
    104.63x = 214.31 × 214.31
  4. Step 4: Simplify right side
    104.63x = 45,929.85
  5. Step 5: Solve for x
    x = 45,929.85/104.63
  6. Step 6: Final answer
    x = 438.99

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.