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Finding the Third Proportional to 152,882,531 and 332,637,478

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Solution

The third proportional to 152,882,531 and 332,637,478 is: 723,743,197.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,882,531 : 332,637,478 = 332,637,478 : x
  2. Step 2: Convert to fraction form
    152,882,531/332,637,478 = 332,637,478/x
  3. Step 3: Cross multiply
    152,882,531x = 332,637,478 × 332,637,478
  4. Step 4: Simplify right side
    152,882,531x = 110,647,691,770,200,480
  5. Step 5: Solve for x
    x = 110,647,691,770,200,480/152,882,531
  6. Step 6: Final answer
    x = 723,743,197.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.