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Finding the Third Proportional to 77,743,800.75 and 179,981,668.50

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Solution

The third proportional to 77,743,800.75 and 179,981,668.50 is: 416,668,604.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,743,800.75 : 179,981,668.50 = 179,981,668.50 : x
  2. Step 2: Convert to fraction form
    77,743,800.75/179,981,668.50 = 179,981,668.50/x
  3. Step 3: Cross multiply
    77,743,800.75x = 179,981,668.50 × 179,981,668.50
  4. Step 4: Simplify right side
    77,743,800.75x = 32,393,400,996,043,892
  5. Step 5: Solve for x
    x = 32,393,400,996,043,892/77,743,800.75
  6. Step 6: Final answer
    x = 416,668,604.87

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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.