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Finding the Third Proportional to 86,327,136 and 180,635,904

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Solution

The third proportional to 86,327,136 and 180,635,904 is: 377,973,037.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,327,136 : 180,635,904 = 180,635,904 : x
  2. Step 2: Convert to fraction form
    86,327,136/180,635,904 = 180,635,904/x
  3. Step 3: Cross multiply
    86,327,136x = 180,635,904 × 180,635,904
  4. Step 4: Simplify right side
    86,327,136x = 32,629,329,813,897,216
  5. Step 5: Solve for x
    x = 32,629,329,813,897,216/86,327,136
  6. Step 6: Final answer
    x = 377,973,037.52

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.