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Finding the Third Proportional to 211,005,216 and 449,881,344

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Solution

The third proportional to 211,005,216 and 449,881,344 is: 959,185,879.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,005,216 : 449,881,344 = 449,881,344 : x
  2. Step 2: Convert to fraction form
    211,005,216/449,881,344 = 449,881,344/x
  3. Step 3: Cross multiply
    211,005,216x = 449,881,344 × 449,881,344
  4. Step 4: Simplify right side
    211,005,216x = 202,393,223,679,246,336
  5. Step 5: Solve for x
    x = 202,393,223,679,246,336/211,005,216
  6. Step 6: Final answer
    x = 959,185,879.46

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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.