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Finding the Third Proportional to 96,715,532 and 212,431,084

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Solution

The third proportional to 96,715,532 and 212,431,084 is: 466,594,811.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,715,532 : 212,431,084 = 212,431,084 : x
  2. Step 2: Convert to fraction form
    96,715,532/212,431,084 = 212,431,084/x
  3. Step 3: Cross multiply
    96,715,532x = 212,431,084 × 212,431,084
  4. Step 4: Simplify right side
    96,715,532x = 45,126,965,449,415,056
  5. Step 5: Solve for x
    x = 45,126,965,449,415,056/96,715,532
  6. Step 6: Final answer
    x = 466,594,811.78

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.