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Finding the Third Proportional to 81,590,967 and 177,381,578

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Solution

The third proportional to 81,590,967 and 177,381,578 is: 385,633,672.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,590,967 : 177,381,578 = 177,381,578 : x
  2. Step 2: Convert to fraction form
    81,590,967/177,381,578 = 177,381,578/x
  3. Step 3: Cross multiply
    81,590,967x = 177,381,578 × 177,381,578
  4. Step 4: Simplify right side
    81,590,967x = 31,464,224,213,770,084
  5. Step 5: Solve for x
    x = 31,464,224,213,770,084/81,590,967
  6. Step 6: Final answer
    x = 385,633,672.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.