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Finding the Third Proportional to 96,187 and 213,134

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Solution

The third proportional to 96,187 and 213,134 is: 472,268.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,187 : 213,134 = 213,134 : x
  2. Step 2: Convert to fraction form
    96,187/213,134 = 213,134/x
  3. Step 3: Cross multiply
    96,187x = 213,134 × 213,134
  4. Step 4: Simplify right side
    96,187x = 45,426,101,956
  5. Step 5: Solve for x
    x = 45,426,101,956/96,187
  6. Step 6: Final answer
    x = 472,268.62

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.