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Finding the Third Proportional to 165,675,476 and 259,329,630

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Solution

The third proportional to 165,675,476 and 259,329,630 is: 405,925,237.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,675,476 : 259,329,630 = 259,329,630 : x
  2. Step 2: Convert to fraction form
    165,675,476/259,329,630 = 259,329,630/x
  3. Step 3: Cross multiply
    165,675,476x = 259,329,630 × 259,329,630
  4. Step 4: Simplify right side
    165,675,476x = 67,251,856,995,936,896
  5. Step 5: Solve for x
    x = 67,251,856,995,936,896/165,675,476
  6. Step 6: Final answer
    x = 405,925,237.82

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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.