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Finding the Third Proportional to 165,675,600 and 259,329,816

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Solution

The third proportional to 165,675,600 and 259,329,816 is: 405,925,516.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,675,600 : 259,329,816 = 259,329,816 : x
  2. Step 2: Convert to fraction form
    165,675,600/259,329,816 = 259,329,816/x
  3. Step 3: Cross multiply
    165,675,600x = 259,329,816 × 259,329,816
  4. Step 4: Simplify right side
    165,675,600x = 67,251,953,466,593,856
  5. Step 5: Solve for x
    x = 67,251,953,466,593,856/165,675,600
  6. Step 6: Final answer
    x = 405,925,516.29

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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.