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Finding the Third Proportional to 211,005,267 and 449,881,446

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Solution

The third proportional to 211,005,267 and 449,881,446 is: 959,186,082.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,005,267 : 449,881,446 = 449,881,446 : x
  2. Step 2: Convert to fraction form
    211,005,267/449,881,446 = 449,881,446/x
  3. Step 3: Cross multiply
    211,005,267x = 449,881,446 × 449,881,446
  4. Step 4: Simplify right side
    211,005,267x = 202,393,315,455,050,912
  5. Step 5: Solve for x
    x = 202,393,315,455,050,912/211,005,267
  6. Step 6: Final answer
    x = 959,186,082.57

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.