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Finding the Third Proportional to 75,689,067 and 165,707,349

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Solution

The third proportional to 75,689,067 and 165,707,349 is: 362,785,889.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,689,067 : 165,707,349 = 165,707,349 : x
  2. Step 2: Convert to fraction form
    75,689,067/165,707,349 = 165,707,349/x
  3. Step 3: Cross multiply
    75,689,067x = 165,707,349 × 165,707,349
  4. Step 4: Simplify right side
    75,689,067x = 27,458,925,512,607,800
  5. Step 5: Solve for x
    x = 27,458,925,512,607,800/75,689,067
  6. Step 6: Final answer
    x = 362,785,889.71

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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.