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Finding the Third Proportional to 65,115,067.50 and 135,588,828

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Solution

The third proportional to 65,115,067.50 and 135,588,828 is: 282,336,039.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,115,067.50 : 135,588,828 = 135,588,828 : x
  2. Step 2: Convert to fraction form
    65,115,067.50/135,588,828 = 135,588,828/x
  3. Step 3: Cross multiply
    65,115,067.50x = 135,588,828 × 135,588,828
  4. Step 4: Simplify right side
    65,115,067.50x = 18,384,330,278,413,584
  5. Step 5: Solve for x
    x = 18,384,330,278,413,584/65,115,067.50
  6. Step 6: Final answer
    x = 282,336,039.63

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.