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Finding the Third Proportional to 159,365,874 and 234,491,650

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Solution

The third proportional to 159,365,874 and 234,491,650 is: 345,032,048.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,365,874 : 234,491,650 = 234,491,650 : x
  2. Step 2: Convert to fraction form
    159,365,874/234,491,650 = 234,491,650/x
  3. Step 3: Cross multiply
    159,365,874x = 234,491,650 × 234,491,650
  4. Step 4: Simplify right side
    159,365,874x = 54,986,333,919,722,496
  5. Step 5: Solve for x
    x = 54,986,333,919,722,496/159,365,874
  6. Step 6: Final answer
    x = 345,032,048.20

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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.