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Finding the Third Proportional to 152,836,392.75 and 335,697,825

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Solution

The third proportional to 152,836,392.75 and 335,697,825 is: 737,344,212.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,836,392.75 : 335,697,825 = 335,697,825 : x
  2. Step 2: Convert to fraction form
    152,836,392.75/335,697,825 = 335,697,825/x
  3. Step 3: Cross multiply
    152,836,392.75x = 335,697,825 × 335,697,825
  4. Step 4: Simplify right side
    152,836,392.75x = 112,693,029,709,730,624
  5. Step 5: Solve for x
    x = 112,693,029,709,730,624/152,836,392.75
  6. Step 6: Final answer
    x = 737,344,212.87

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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.