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Finding the Third Proportional to 206,906,788 and 344,830,218

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Solution

The third proportional to 206,906,788 and 344,830,218 is: 574,692,983.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,906,788 : 344,830,218 = 344,830,218 : x
  2. Step 2: Convert to fraction form
    206,906,788/344,830,218 = 344,830,218/x
  3. Step 3: Cross multiply
    206,906,788x = 344,830,218 × 344,830,218
  4. Step 4: Simplify right side
    206,906,788x = 118,907,879,245,927,520
  5. Step 5: Solve for x
    x = 118,907,879,245,927,520/206,906,788
  6. Step 6: Final answer
    x = 574,692,983.23

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.