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Finding the Third Proportional to 152,882,530 and 332,637,476

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Solution

The third proportional to 152,882,530 and 332,637,476 is: 723,743,193.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,882,530 : 332,637,476 = 332,637,476 : x
  2. Step 2: Convert to fraction form
    152,882,530/332,637,476 = 332,637,476/x
  3. Step 3: Cross multiply
    152,882,530x = 332,637,476 × 332,637,476
  4. Step 4: Simplify right side
    152,882,530x = 110,647,690,439,650,576
  5. Step 5: Solve for x
    x = 110,647,690,439,650,576/152,882,530
  6. Step 6: Final answer
    x = 723,743,193.15

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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.