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Finding the Third Proportional to 298,163,786.43 and 655,474,782.83

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Solution

The third proportional to 298,163,786.43 and 655,474,782.83 is: 1,440,977,108.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,163,786.43 : 655,474,782.83 = 655,474,782.83 : x
  2. Step 2: Convert to fraction form
    298,163,786.43/655,474,782.83 = 655,474,782.83/x
  3. Step 3: Cross multiply
    298,163,786.43x = 655,474,782.83 × 655,474,782.83
  4. Step 4: Simplify right side
    298,163,786.43x = 429,647,190,928,683,840
  5. Step 5: Solve for x
    x = 429,647,190,928,683,840/298,163,786.43
  6. Step 6: Final answer
    x = 1,440,977,108.83

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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.