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Finding the Third Proportional to 179,530,304 and 272,915,307

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Solution

The third proportional to 179,530,304 and 272,915,307 is: 414,875,723.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,530,304 : 272,915,307 = 272,915,307 : x
  2. Step 2: Convert to fraction form
    179,530,304/272,915,307 = 272,915,307/x
  3. Step 3: Cross multiply
    179,530,304x = 272,915,307 × 272,915,307
  4. Step 4: Simplify right side
    179,530,304x = 74,482,764,794,904,256
  5. Step 5: Solve for x
    x = 74,482,764,794,904,256/179,530,304
  6. Step 6: Final answer
    x = 414,875,723.68

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.