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Finding the Third Proportional to 156,227,640 and 340,228,722

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Solution

The third proportional to 156,227,640 and 340,228,722 is: 740,941,764.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,227,640 : 340,228,722 = 340,228,722 : x
  2. Step 2: Convert to fraction form
    156,227,640/340,228,722 = 340,228,722/x
  3. Step 3: Cross multiply
    156,227,640x = 340,228,722 × 340,228,722
  4. Step 4: Simplify right side
    156,227,640x = 115,755,583,273,753,280
  5. Step 5: Solve for x
    x = 115,755,583,273,753,280/156,227,640
  6. Step 6: Final answer
    x = 740,941,764.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.