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Finding the Third Proportional to 80,811,364 and 176,738,984

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Solution

The third proportional to 80,811,364 and 176,738,984 is: 386,538,067.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,811,364 : 176,738,984 = 176,738,984 : x
  2. Step 2: Convert to fraction form
    80,811,364/176,738,984 = 176,738,984/x
  3. Step 3: Cross multiply
    80,811,364x = 176,738,984 × 176,738,984
  4. Step 4: Simplify right side
    80,811,364x = 31,236,668,465,352,256
  5. Step 5: Solve for x
    x = 31,236,668,465,352,256/80,811,364
  6. Step 6: Final answer
    x = 386,538,067.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.