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Finding the Third Proportional to 231,612,608.25 and 509,134,174.88

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Solution

The third proportional to 231,612,608.25 and 509,134,174.88 is: 1,119,186,083.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,612,608.25 : 509,134,174.88 = 509,134,174.88 : x
  2. Step 2: Convert to fraction form
    231,612,608.25/509,134,174.88 = 509,134,174.88/x
  3. Step 3: Cross multiply
    231,612,608.25x = 509,134,174.88 × 509,134,174.88
  4. Step 4: Simplify right side
    231,612,608.25x = 259,217,608,025,647,072
  5. Step 5: Solve for x
    x = 259,217,608,025,647,072/231,612,608.25
  6. Step 6: Final answer
    x = 1,119,186,083.97

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.