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Finding the Third Proportional to 84,216 and 181,932

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Solution

The third proportional to 84,216 and 181,932 is: 393,028.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,216 : 181,932 = 181,932 : x
  2. Step 2: Convert to fraction form
    84,216/181,932 = 181,932/x
  3. Step 3: Cross multiply
    84,216x = 181,932 × 181,932
  4. Step 4: Simplify right side
    84,216x = 33,099,252,624
  5. Step 5: Solve for x
    x = 33,099,252,624/84,216
  6. Step 6: Final answer
    x = 393,028.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.