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Finding the Third Proportional to 83,993.41 and 181,358.79

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Solution

The third proportional to 83,993.41 and 181,358.79 is: 391,590.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,993.41 : 181,358.79 = 181,358.79 : x
  2. Step 2: Convert to fraction form
    83,993.41/181,358.79 = 181,358.79/x
  3. Step 3: Cross multiply
    83,993.41x = 181,358.79 × 181,358.79
  4. Step 4: Simplify right side
    83,993.41x = 32,891,010,370.22
  5. Step 5: Solve for x
    x = 32,891,010,370.22/83,993.41
  6. Step 6: Final answer
    x = 391,590.35

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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.