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Finding the Third Proportional to 86,136,166 and 132,397,517

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Solution

The third proportional to 86,136,166 and 132,397,517 is: 203,504,559.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,136,166 : 132,397,517 = 132,397,517 : x
  2. Step 2: Convert to fraction form
    86,136,166/132,397,517 = 132,397,517/x
  3. Step 3: Cross multiply
    86,136,166x = 132,397,517 × 132,397,517
  4. Step 4: Simplify right side
    86,136,166x = 17,529,102,507,765,288
  5. Step 5: Solve for x
    x = 17,529,102,507,765,288/86,136,166
  6. Step 6: Final answer
    x = 203,504,559.37

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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.