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Finding the Third Proportional to 86,125,146.75 and 188,990,691.75

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Solution

The third proportional to 86,125,146.75 and 188,990,691.75 is: 414,716,060.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,125,146.75 : 188,990,691.75 = 188,990,691.75 : x
  2. Step 2: Convert to fraction form
    86,125,146.75/188,990,691.75 = 188,990,691.75/x
  3. Step 3: Cross multiply
    86,125,146.75x = 188,990,691.75 × 188,990,691.75
  4. Step 4: Simplify right side
    86,125,146.75x = 35,717,481,568,143,520
  5. Step 5: Solve for x
    x = 35,717,481,568,143,520/86,125,146.75
  6. Step 6: Final answer
    x = 414,716,060.48

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