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Finding the Third Proportional to 135,177,295.50 and 277,520,747.06

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Solution

The third proportional to 135,177,295.50 and 277,520,747.06 is: 569,753,705.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,177,295.50 : 277,520,747.06 = 277,520,747.06 : x
  2. Step 2: Convert to fraction form
    135,177,295.50/277,520,747.06 = 277,520,747.06/x
  3. Step 3: Cross multiply
    135,177,295.50x = 277,520,747.06 × 277,520,747.06
  4. Step 4: Simplify right side
    135,177,295.50x = 77,017,765,050,128,096
  5. Step 5: Solve for x
    x = 77,017,765,050,128,096/135,177,295.50
  6. Step 6: Final answer
    x = 569,753,705.79

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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.