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Finding the Third Proportional to 211,005,228 and 449,881,368

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Solution

The third proportional to 211,005,228 and 449,881,368 is: 959,185,927.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,005,228 : 449,881,368 = 449,881,368 : x
  2. Step 2: Convert to fraction form
    211,005,228/449,881,368 = 449,881,368/x
  3. Step 3: Cross multiply
    211,005,228x = 449,881,368 × 449,881,368
  4. Step 4: Simplify right side
    211,005,228x = 202,393,245,273,551,424
  5. Step 5: Solve for x
    x = 202,393,245,273,551,424/211,005,228
  6. Step 6: Final answer
    x = 959,185,927.25

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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.