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Finding the Third Proportional to 208,437,161 and 445,499,236

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Solution

The third proportional to 208,437,161 and 445,499,236 is: 952,179,392.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,437,161 : 445,499,236 = 445,499,236 : x
  2. Step 2: Convert to fraction form
    208,437,161/445,499,236 = 445,499,236/x
  3. Step 3: Cross multiply
    208,437,161x = 445,499,236 × 445,499,236
  4. Step 4: Simplify right side
    208,437,161x = 198,469,569,276,583,680
  5. Step 5: Solve for x
    x = 198,469,569,276,583,680/208,437,161
  6. Step 6: Final answer
    x = 952,179,392.22

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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.