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Finding the Third Proportional to 86,339,906 and 132,844,608

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Solution

The third proportional to 86,339,906 and 132,844,608 is: 204,397,835.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,339,906 : 132,844,608 = 132,844,608 : x
  2. Step 2: Convert to fraction form
    86,339,906/132,844,608 = 132,844,608/x
  3. Step 3: Cross multiply
    86,339,906x = 132,844,608 × 132,844,608
  4. Step 4: Simplify right side
    86,339,906x = 17,647,689,874,673,664
  5. Step 5: Solve for x
    x = 17,647,689,874,673,664/86,339,906
  6. Step 6: Final answer
    x = 204,397,835.16

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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.