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Finding the Third Proportional to 211,691,052 and 455,818,716

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Solution

The third proportional to 211,691,052 and 455,818,716 is: 981,480,794.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,691,052 : 455,818,716 = 455,818,716 : x
  2. Step 2: Convert to fraction form
    211,691,052/455,818,716 = 455,818,716/x
  3. Step 3: Cross multiply
    211,691,052x = 455,818,716 × 455,818,716
  4. Step 4: Simplify right side
    211,691,052x = 207,770,701,855,888,640
  5. Step 5: Solve for x
    x = 207,770,701,855,888,640/211,691,052
  6. Step 6: Final answer
    x = 981,480,794.27

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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.