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Finding the Third Proportional to 96,715,530 and 212,431,080

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Solution

The third proportional to 96,715,530 and 212,431,080 is: 466,594,803.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,715,530 : 212,431,080 = 212,431,080 : x
  2. Step 2: Convert to fraction form
    96,715,530/212,431,080 = 212,431,080/x
  3. Step 3: Cross multiply
    96,715,530x = 212,431,080 × 212,431,080
  4. Step 4: Simplify right side
    96,715,530x = 45,126,963,749,966,400
  5. Step 5: Solve for x
    x = 45,126,963,749,966,400/96,715,530
  6. Step 6: Final answer
    x = 466,594,803.85

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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.