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Finding the Third Proportional to 86,339,910 and 132,844,614

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Solution

The third proportional to 86,339,910 and 132,844,614 is: 204,397,844.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,339,910 : 132,844,614 = 132,844,614 : x
  2. Step 2: Convert to fraction form
    86,339,910/132,844,614 = 132,844,614/x
  3. Step 3: Cross multiply
    86,339,910x = 132,844,614 × 132,844,614
  4. Step 4: Simplify right side
    86,339,910x = 17,647,691,468,808,996
  5. Step 5: Solve for x
    x = 17,647,691,468,808,996/86,339,910
  6. Step 6: Final answer
    x = 204,397,844.16

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.