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Finding the Third Proportional to 144,948,568 and 219,532,758

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Solution

The third proportional to 144,948,568 and 219,532,758 is: 332,494,708.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,948,568 : 219,532,758 = 219,532,758 : x
  2. Step 2: Convert to fraction form
    144,948,568/219,532,758 = 219,532,758/x
  3. Step 3: Cross multiply
    144,948,568x = 219,532,758 × 219,532,758
  4. Step 4: Simplify right side
    144,948,568x = 48,194,631,835,086,560
  5. Step 5: Solve for x
    x = 48,194,631,835,086,560/144,948,568
  6. Step 6: Final answer
    x = 332,494,708.30

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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.