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Finding the Third Proportional to 212,447,605 and 457,180,246

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Solution

The third proportional to 212,447,605 and 457,180,246 is: 983,836,825.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,447,605 : 457,180,246 = 457,180,246 : x
  2. Step 2: Convert to fraction form
    212,447,605/457,180,246 = 457,180,246/x
  3. Step 3: Cross multiply
    212,447,605x = 457,180,246 × 457,180,246
  4. Step 4: Simplify right side
    212,447,605x = 209,013,777,332,620,512
  5. Step 5: Solve for x
    x = 209,013,777,332,620,512/212,447,605
  6. Step 6: Final answer
    x = 983,836,825.71

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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.