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Finding the Third Proportional to 86,029,035 and 131,512,257

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Solution

The third proportional to 86,029,035 and 131,512,257 is: 201,042,284.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,029,035 : 131,512,257 = 131,512,257 : x
  2. Step 2: Convert to fraction form
    86,029,035/131,512,257 = 131,512,257/x
  3. Step 3: Cross multiply
    86,029,035x = 131,512,257 × 131,512,257
  4. Step 4: Simplify right side
    86,029,035x = 17,295,473,741,234,048
  5. Step 5: Solve for x
    x = 17,295,473,741,234,048/86,029,035
  6. Step 6: Final answer
    x = 201,042,284.63

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.