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Finding the Third Proportional to 235,491,844 and 350,940,470

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Solution

The third proportional to 235,491,844 and 350,940,470 is: 522,987,171.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,491,844 : 350,940,470 = 350,940,470 : x
  2. Step 2: Convert to fraction form
    235,491,844/350,940,470 = 350,940,470/x
  3. Step 3: Cross multiply
    235,491,844x = 350,940,470 × 350,940,470
  4. Step 4: Simplify right side
    235,491,844x = 123,159,213,483,820,896
  5. Step 5: Solve for x
    x = 123,159,213,483,820,896/235,491,844
  6. Step 6: Final answer
    x = 522,987,171.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.