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Finding the Third Proportional to 152,882,514 and 332,637,444

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Solution

The third proportional to 152,882,514 and 332,637,444 is: 723,743,129.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,882,514 : 332,637,444 = 332,637,444 : x
  2. Step 2: Convert to fraction form
    152,882,514/332,637,444 = 332,637,444/x
  3. Step 3: Cross multiply
    152,882,514x = 332,637,444 × 332,637,444
  4. Step 4: Simplify right side
    152,882,514x = 110,647,669,150,853,136
  5. Step 5: Solve for x
    x = 110,647,669,150,853,136/152,882,514
  6. Step 6: Final answer
    x = 723,743,129.65

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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.