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Finding the Third Proportional to 152,031,525 and 331,930,488

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Solution

The third proportional to 152,031,525 and 331,930,488 is: 724,703,964.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,031,525 : 331,930,488 = 331,930,488 : x
  2. Step 2: Convert to fraction form
    152,031,525/331,930,488 = 331,930,488/x
  3. Step 3: Cross multiply
    152,031,525x = 331,930,488 × 331,930,488
  4. Step 4: Simplify right side
    152,031,525x = 110,177,848,863,918,144
  5. Step 5: Solve for x
    x = 110,177,848,863,918,144/152,031,525
  6. Step 6: Final answer
    x = 724,703,964.29

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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.