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Finding the Third Proportional to 234,302,844 and 487,998,600

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Solution

The third proportional to 234,302,844 and 487,998,600 is: 1,016,388,147.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,302,844 : 487,998,600 = 487,998,600 : x
  2. Step 2: Convert to fraction form
    234,302,844/487,998,600 = 487,998,600/x
  3. Step 3: Cross multiply
    234,302,844x = 487,998,600 × 487,998,600
  4. Step 4: Simplify right side
    234,302,844x = 238,142,633,601,960,000
  5. Step 5: Solve for x
    x = 238,142,633,601,960,000/234,302,844
  6. Step 6: Final answer
    x = 1,016,388,147.65

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.