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Finding the Third Proportional to 84.63 and 186.13

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Solution

The third proportional to 84.63 and 186.13 is: 409.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.63 : 186.13 = 186.13 : x
  2. Step 2: Convert to fraction form
    84.63/186.13 = 186.13/x
  3. Step 3: Cross multiply
    84.63x = 186.13 × 186.13
  4. Step 4: Simplify right side
    84.63x = 34,642.52
  5. Step 5: Solve for x
    x = 34,642.52/84.63
  6. Step 6: Final answer
    x = 409.37

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.