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Finding the Third Proportional to 77,743,890.75 and 179,981,892.75

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Solution

The third proportional to 77,743,890.75 and 179,981,892.75 is: 416,669,160.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,743,890.75 : 179,981,892.75 = 179,981,892.75 : x
  2. Step 2: Convert to fraction form
    77,743,890.75/179,981,892.75 = 179,981,892.75/x
  3. Step 3: Cross multiply
    77,743,890.75x = 179,981,892.75 × 179,981,892.75
  4. Step 4: Simplify right side
    77,743,890.75x = 32,393,481,717,872,504
  5. Step 5: Solve for x
    x = 32,393,481,717,872,504/77,743,890.75
  6. Step 6: Final answer
    x = 416,669,160.82

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.