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Finding the Third Proportional to 144,948,542 and 219,532,722

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Solution

The third proportional to 144,948,542 and 219,532,722 is: 332,494,658.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,948,542 : 219,532,722 = 219,532,722 : x
  2. Step 2: Convert to fraction form
    144,948,542/219,532,722 = 219,532,722/x
  3. Step 3: Cross multiply
    144,948,542x = 219,532,722 × 219,532,722
  4. Step 4: Simplify right side
    144,948,542x = 48,194,616,028,729,280
  5. Step 5: Solve for x
    x = 48,194,616,028,729,280/144,948,542
  6. Step 6: Final answer
    x = 332,494,658.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.