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Finding the Third Proportional to 211,647,364 and 455,729,233

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Solution

The third proportional to 211,647,364 and 455,729,233 is: 981,297,994.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,647,364 : 455,729,233 = 455,729,233 : x
  2. Step 2: Convert to fraction form
    211,647,364/455,729,233 = 455,729,233/x
  3. Step 3: Cross multiply
    211,647,364x = 455,729,233 × 455,729,233
  4. Step 4: Simplify right side
    211,647,364x = 207,689,133,810,768,288
  5. Step 5: Solve for x
    x = 207,689,133,810,768,288/211,647,364
  6. Step 6: Final answer
    x = 981,297,994.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.