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Finding the Third Proportional to 206,906,784 and 344,830,212

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Solution

The third proportional to 206,906,784 and 344,830,212 is: 574,692,974.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,906,784 : 344,830,212 = 344,830,212 : x
  2. Step 2: Convert to fraction form
    206,906,784/344,830,212 = 344,830,212/x
  3. Step 3: Cross multiply
    206,906,784x = 344,830,212 × 344,830,212
  4. Step 4: Simplify right side
    206,906,784x = 118,907,875,107,964,944
  5. Step 5: Solve for x
    x = 118,907,875,107,964,944/206,906,784
  6. Step 6: Final answer
    x = 574,692,974.34

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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.