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Finding the Third Proportional to 208,437,156 and 445,499,226

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Solution

The third proportional to 208,437,156 and 445,499,226 is: 952,179,372.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,437,156 : 445,499,226 = 445,499,226 : x
  2. Step 2: Convert to fraction form
    208,437,156/445,499,226 = 445,499,226/x
  3. Step 3: Cross multiply
    208,437,156x = 445,499,226 × 445,499,226
  4. Step 4: Simplify right side
    208,437,156x = 198,469,560,366,599,072
  5. Step 5: Solve for x
    x = 198,469,560,366,599,072/208,437,156
  6. Step 6: Final answer
    x = 952,179,372.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.