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Finding the Third Proportional to 150,772,738.50 and 326,581,467

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Solution

The third proportional to 150,772,738.50 and 326,581,467 is: 707,392,169.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,772,738.50 : 326,581,467 = 326,581,467 : x
  2. Step 2: Convert to fraction form
    150,772,738.50/326,581,467 = 326,581,467/x
  3. Step 3: Cross multiply
    150,772,738.50x = 326,581,467 × 326,581,467
  4. Step 4: Simplify right side
    150,772,738.50x = 106,655,454,587,872,096
  5. Step 5: Solve for x
    x = 106,655,454,587,872,096/150,772,738.50
  6. Step 6: Final answer
    x = 707,392,169.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.