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Finding the Third Proportional to 281,541,816 and 588,825,108

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Solution

The third proportional to 281,541,816 and 588,825,108 is: 1,231,486,721.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,541,816 : 588,825,108 = 588,825,108 : x
  2. Step 2: Convert to fraction form
    281,541,816/588,825,108 = 588,825,108/x
  3. Step 3: Cross multiply
    281,541,816x = 588,825,108 × 588,825,108
  4. Step 4: Simplify right side
    281,541,816x = 346,715,007,811,211,648
  5. Step 5: Solve for x
    x = 346,715,007,811,211,648/281,541,816
  6. Step 6: Final answer
    x = 1,231,486,721.00

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.