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Finding the Third Proportional to 205,429,005 and 418,032,441

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Solution

The third proportional to 205,429,005 and 418,032,441 is: 850,664,304.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,429,005 : 418,032,441 = 418,032,441 : x
  2. Step 2: Convert to fraction form
    205,429,005/418,032,441 = 418,032,441/x
  3. Step 3: Cross multiply
    205,429,005x = 418,032,441 × 418,032,441
  4. Step 4: Simplify right side
    205,429,005x = 174,751,121,728,418,496
  5. Step 5: Solve for x
    x = 174,751,121,728,418,496/205,429,005
  6. Step 6: Final answer
    x = 850,664,304.82

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.