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Finding the Third Proportional to 150,775,941 and 328,250,533

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Solution

The third proportional to 150,775,941 and 328,250,533 is: 714,626,031.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,775,941 : 328,250,533 = 328,250,533 : x
  2. Step 2: Convert to fraction form
    150,775,941/328,250,533 = 328,250,533/x
  3. Step 3: Cross multiply
    150,775,941x = 328,250,533 × 328,250,533
  4. Step 4: Simplify right side
    150,775,941x = 107,748,412,414,784,096
  5. Step 5: Solve for x
    x = 107,748,412,414,784,096/150,775,941
  6. Step 6: Final answer
    x = 714,626,031.85

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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.