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Finding the Third Proportional to 86,136,165 and 132,397,513

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Solution

The third proportional to 86,136,165 and 132,397,513 is: 203,504,549.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,136,165 : 132,397,513 = 132,397,513 : x
  2. Step 2: Convert to fraction form
    86,136,165/132,397,513 = 132,397,513/x
  3. Step 3: Cross multiply
    86,136,165x = 132,397,513 × 132,397,513
  4. Step 4: Simplify right side
    86,136,165x = 17,529,101,448,585,168
  5. Step 5: Solve for x
    x = 17,529,101,448,585,168/86,136,165
  6. Step 6: Final answer
    x = 203,504,549.44

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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.