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Finding the Third Proportional to 206,808,536 and 448,082,814

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Solution

The third proportional to 206,808,536 and 448,082,814 is: 970,841,011.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,808,536 : 448,082,814 = 448,082,814 : x
  2. Step 2: Convert to fraction form
    206,808,536/448,082,814 = 448,082,814/x
  3. Step 3: Cross multiply
    206,808,536x = 448,082,814 × 448,082,814
  4. Step 4: Simplify right side
    206,808,536x = 200,778,208,202,158,592
  5. Step 5: Solve for x
    x = 200,778,208,202,158,592/206,808,536
  6. Step 6: Final answer
    x = 970,841,011.14

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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.