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Finding the Third Proportional to 159,365,872 and 234,491,647

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Solution

The third proportional to 159,365,872 and 234,491,647 is: 345,032,043.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,365,872 : 234,491,647 = 234,491,647 : x
  2. Step 2: Convert to fraction form
    159,365,872/234,491,647 = 234,491,647/x
  3. Step 3: Cross multiply
    159,365,872x = 234,491,647 × 234,491,647
  4. Step 4: Simplify right side
    159,365,872x = 54,986,332,512,772,608
  5. Step 5: Solve for x
    x = 54,986,332,512,772,608/159,365,872
  6. Step 6: Final answer
    x = 345,032,043.70

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.