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Finding the Third Proportional to 86,401.69 and 177,108.19

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Solution

The third proportional to 86,401.69 and 177,108.19 is: 363,040.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,401.69 : 177,108.19 = 177,108.19 : x
  2. Step 2: Convert to fraction form
    86,401.69/177,108.19 = 177,108.19/x
  3. Step 3: Cross multiply
    86,401.69x = 177,108.19 × 177,108.19
  4. Step 4: Simplify right side
    86,401.69x = 31,367,310,079.54
  5. Step 5: Solve for x
    x = 31,367,310,079.54/86,401.69
  6. Step 6: Final answer
    x = 363,040.48

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.