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Finding the Third Proportional to 206,652,234,626 and 323,467,188,643

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Solution

The third proportional to 206,652,234,626 and 323,467,188,643 is: 506,314,496,516.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,652,234,626 : 323,467,188,643 = 323,467,188,643 : x
  2. Step 2: Convert to fraction form
    206,652,234,626/323,467,188,643 = 323,467,188,643/x
  3. Step 3: Cross multiply
    206,652,234,626x = 323,467,188,643 × 323,467,188,643
  4. Step 4: Simplify right side
    206,652,234,626x = 104,631,022,128,606,142,791,680
  5. Step 5: Solve for x
    x = 104,631,022,128,606,142,791,680/206,652,234,626
  6. Step 6: Final answer
    x = 506,314,496,516.18

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.