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Finding the Third Proportional to 255,524,834.81 and 554,659,522.88

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Solution

The third proportional to 255,524,834.81 and 554,659,522.88 is: 1,203,981,548.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,524,834.81 : 554,659,522.88 = 554,659,522.88 : x
  2. Step 2: Convert to fraction form
    255,524,834.81/554,659,522.88 = 554,659,522.88/x
  3. Step 3: Cross multiply
    255,524,834.81x = 554,659,522.88 × 554,659,522.88
  4. Step 4: Simplify right side
    255,524,834.81x = 307,647,186,315,922,624
  5. Step 5: Solve for x
    x = 307,647,186,315,922,624/255,524,834.81
  6. Step 6: Final answer
    x = 1,203,981,548.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.