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Finding the Third Proportional to 204,401,217 and 306,526,782

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Solution

The third proportional to 204,401,217 and 306,526,782 is: 459,677,635.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,401,217 : 306,526,782 = 306,526,782 : x
  2. Step 2: Convert to fraction form
    204,401,217/306,526,782 = 306,526,782/x
  3. Step 3: Cross multiply
    204,401,217x = 306,526,782 × 306,526,782
  4. Step 4: Simplify right side
    204,401,217x = 93,958,668,083,275,520
  5. Step 5: Solve for x
    x = 93,958,668,083,275,520/204,401,217
  6. Step 6: Final answer
    x = 459,677,635.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.