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Finding the Third Proportional to 135,177,330 and 277,520,820

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Solution

The third proportional to 135,177,330 and 277,520,820 is: 569,753,859.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,177,330 : 277,520,820 = 277,520,820 : x
  2. Step 2: Convert to fraction form
    135,177,330/277,520,820 = 277,520,820/x
  3. Step 3: Cross multiply
    135,177,330x = 277,520,820 × 277,520,820
  4. Step 4: Simplify right side
    135,177,330x = 77,017,805,533,472,400
  5. Step 5: Solve for x
    x = 77,017,805,533,472,400/135,177,330
  6. Step 6: Final answer
    x = 569,753,859.86

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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.