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Finding the Third Proportional to 165,675,474 and 259,329,627

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Solution

The third proportional to 165,675,474 and 259,329,627 is: 405,925,233.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,675,474 : 259,329,627 = 259,329,627 : x
  2. Step 2: Convert to fraction form
    165,675,474/259,329,627 = 259,329,627/x
  3. Step 3: Cross multiply
    165,675,474x = 259,329,627 × 259,329,627
  4. Step 4: Simplify right side
    165,675,474x = 67,251,855,439,959,128
  5. Step 5: Solve for x
    x = 67,251,855,439,959,128/165,675,474
  6. Step 6: Final answer
    x = 405,925,233.33

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.