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Finding the Third Proportional to 80,505,022 and 176,825,492

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Solution

The third proportional to 80,505,022 and 176,825,492 is: 388,388,871.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,505,022 : 176,825,492 = 176,825,492 : x
  2. Step 2: Convert to fraction form
    80,505,022/176,825,492 = 176,825,492/x
  3. Step 3: Cross multiply
    80,505,022x = 176,825,492 × 176,825,492
  4. Step 4: Simplify right side
    80,505,022x = 31,267,254,621,042,064
  5. Step 5: Solve for x
    x = 31,267,254,621,042,064/80,505,022
  6. Step 6: Final answer
    x = 388,388,871.21

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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.