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Finding the Third Proportional to 211,309,896 and 457,795,256

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Solution

The third proportional to 211,309,896 and 457,795,256 is: 991,796,884.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,309,896 : 457,795,256 = 457,795,256 : x
  2. Step 2: Convert to fraction form
    211,309,896/457,795,256 = 457,795,256/x
  3. Step 3: Cross multiply
    211,309,896x = 457,795,256 × 457,795,256
  4. Step 4: Simplify right side
    211,309,896x = 209,576,496,416,105,536
  5. Step 5: Solve for x
    x = 209,576,496,416,105,536/211,309,896
  6. Step 6: Final answer
    x = 991,796,884.02

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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.