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Finding the Third Proportional to 206,622,496 and 449,564,060

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Solution

The third proportional to 206,622,496 and 449,564,060 is: 978,150,239.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,622,496 : 449,564,060 = 449,564,060 : x
  2. Step 2: Convert to fraction form
    206,622,496/449,564,060 = 449,564,060/x
  3. Step 3: Cross multiply
    206,622,496x = 449,564,060 × 449,564,060
  4. Step 4: Simplify right side
    206,622,496x = 202,107,844,043,683,584
  5. Step 5: Solve for x
    x = 202,107,844,043,683,584/206,622,496
  6. Step 6: Final answer
    x = 978,150,239.96

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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.