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Finding the Third Proportional to 80,505,018 and 176,825,484

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Solution

The third proportional to 80,505,018 and 176,825,484 is: 388,388,855.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,505,018 : 176,825,484 = 176,825,484 : x
  2. Step 2: Convert to fraction form
    80,505,018/176,825,484 = 176,825,484/x
  3. Step 3: Cross multiply
    80,505,018x = 176,825,484 × 176,825,484
  4. Step 4: Simplify right side
    80,505,018x = 31,267,251,791,834,256
  5. Step 5: Solve for x
    x = 31,267,251,791,834,256/80,505,018
  6. Step 6: Final answer
    x = 388,388,855.36

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.