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Finding the Third Proportional to 206,808,531 and 448,082,805

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Solution

The third proportional to 206,808,531 and 448,082,805 is: 970,840,995.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,808,531 : 448,082,805 = 448,082,805 : x
  2. Step 2: Convert to fraction form
    206,808,531/448,082,805 = 448,082,805/x
  3. Step 3: Cross multiply
    206,808,531x = 448,082,805 × 448,082,805
  4. Step 4: Simplify right side
    206,808,531x = 200,778,200,136,668,032
  5. Step 5: Solve for x
    x = 200,778,200,136,668,032/206,808,531
  6. Step 6: Final answer
    x = 970,840,995.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.