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Finding the Third Proportional to 135,177,314 and 277,520,787

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Solution

The third proportional to 135,177,314 and 277,520,787 is: 569,753,791.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,177,314 : 277,520,787 = 277,520,787 : x
  2. Step 2: Convert to fraction form
    135,177,314/277,520,787 = 277,520,787/x
  3. Step 3: Cross multiply
    135,177,314x = 277,520,787 × 277,520,787
  4. Step 4: Simplify right side
    135,177,314x = 77,017,787,217,099,376
  5. Step 5: Solve for x
    x = 77,017,787,217,099,376/135,177,314
  6. Step 6: Final answer
    x = 569,753,791.80

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.