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Finding the Third Proportional to 75,493,539 and 165,117,204

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Solution

The third proportional to 75,493,539 and 165,117,204 is: 361,139,395.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,493,539 : 165,117,204 = 165,117,204 : x
  2. Step 2: Convert to fraction form
    75,493,539/165,117,204 = 165,117,204/x
  3. Step 3: Cross multiply
    75,493,539x = 165,117,204 × 165,117,204
  4. Step 4: Simplify right side
    75,493,539x = 27,263,691,056,777,616
  5. Step 5: Solve for x
    x = 27,263,691,056,777,616/75,493,539
  6. Step 6: Final answer
    x = 361,139,395.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.