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Finding the Third Proportional to 83,116 and 181,811

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Solution

The third proportional to 83,116 and 181,811 is: 397,700.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,116 : 181,811 = 181,811 : x
  2. Step 2: Convert to fraction form
    83,116/181,811 = 181,811/x
  3. Step 3: Cross multiply
    83,116x = 181,811 × 181,811
  4. Step 4: Simplify right side
    83,116x = 33,055,239,721
  5. Step 5: Solve for x
    x = 33,055,239,721/83,116
  6. Step 6: Final answer
    x = 397,700.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.