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Finding the Third Proportional to 131,950,124 and 272,951,512

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Solution

The third proportional to 131,950,124 and 272,951,512 is: 564,626,433.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,950,124 : 272,951,512 = 272,951,512 : x
  2. Step 2: Convert to fraction form
    131,950,124/272,951,512 = 272,951,512/x
  3. Step 3: Cross multiply
    131,950,124x = 272,951,512 × 272,951,512
  4. Step 4: Simplify right side
    131,950,124x = 74,502,527,903,086,144
  5. Step 5: Solve for x
    x = 74,502,527,903,086,144/131,950,124
  6. Step 6: Final answer
    x = 564,626,433.42

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.