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Finding the Third Proportional to 149,223,876 and 351,757,320

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Solution

The third proportional to 149,223,876 and 351,757,320 is: 829,178,382.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,223,876 : 351,757,320 = 351,757,320 : x
  2. Step 2: Convert to fraction form
    149,223,876/351,757,320 = 351,757,320/x
  3. Step 3: Cross multiply
    149,223,876x = 351,757,320 × 351,757,320
  4. Step 4: Simplify right side
    149,223,876x = 123,733,212,173,582,400
  5. Step 5: Solve for x
    x = 123,733,212,173,582,400/149,223,876
  6. Step 6: Final answer
    x = 829,178,382.78

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.