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Finding the Third Proportional to 206,092,820 and 444,469,770

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Solution

The third proportional to 206,092,820 and 444,469,770 is: 958,565,060.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,092,820 : 444,469,770 = 444,469,770 : x
  2. Step 2: Convert to fraction form
    206,092,820/444,469,770 = 444,469,770/x
  3. Step 3: Cross multiply
    206,092,820x = 444,469,770 × 444,469,770
  4. Step 4: Simplify right side
    206,092,820x = 197,553,376,443,852,896
  5. Step 5: Solve for x
    x = 197,553,376,443,852,896/206,092,820
  6. Step 6: Final answer
    x = 958,565,060.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.