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Finding the Third Proportional to 212,447,591 and 457,180,217

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Solution

The third proportional to 212,447,591 and 457,180,217 is: 983,836,765.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,447,591 : 457,180,217 = 457,180,217 : x
  2. Step 2: Convert to fraction form
    212,447,591/457,180,217 = 457,180,217/x
  3. Step 3: Cross multiply
    212,447,591x = 457,180,217 × 457,180,217
  4. Step 4: Simplify right side
    212,447,591x = 209,013,750,816,167,104
  5. Step 5: Solve for x
    x = 209,013,750,816,167,104/212,447,591
  6. Step 6: Final answer
    x = 983,836,765.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.