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Finding the Third Proportional to 211,682,214 and 455,795,424

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Solution

The third proportional to 211,682,214 and 455,795,424 is: 981,421,464.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,682,214 : 455,795,424 = 455,795,424 : x
  2. Step 2: Convert to fraction form
    211,682,214/455,795,424 = 455,795,424/x
  3. Step 3: Cross multiply
    211,682,214x = 455,795,424 × 455,795,424
  4. Step 4: Simplify right side
    211,682,214x = 207,749,468,539,339,776
  5. Step 5: Solve for x
    x = 207,749,468,539,339,776/211,682,214
  6. Step 6: Final answer
    x = 981,421,464.82

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