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Finding the Third Proportional to 86,136,163 and 132,397,511

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Solution

The third proportional to 86,136,163 and 132,397,511 is: 203,504,548.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,136,163 : 132,397,511 = 132,397,511 : x
  2. Step 2: Convert to fraction form
    86,136,163/132,397,511 = 132,397,511/x
  3. Step 3: Cross multiply
    86,136,163x = 132,397,511 × 132,397,511
  4. Step 4: Simplify right side
    86,136,163x = 17,529,100,918,995,120
  5. Step 5: Solve for x
    x = 17,529,100,918,995,120/86,136,163
  6. Step 6: Final answer
    x = 203,504,548.01

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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.