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Finding the Third Proportional to 106,474,224 and 217,983,408

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Solution

The third proportional to 106,474,224 and 217,983,408 is: 446,274,829.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,474,224 : 217,983,408 = 217,983,408 : x
  2. Step 2: Convert to fraction form
    106,474,224/217,983,408 = 217,983,408/x
  3. Step 3: Cross multiply
    106,474,224x = 217,983,408 × 217,983,408
  4. Step 4: Simplify right side
    106,474,224x = 47,516,766,163,294,464
  5. Step 5: Solve for x
    x = 47,516,766,163,294,464/106,474,224
  6. Step 6: Final answer
    x = 446,274,829.51

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.