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Finding the Third Proportional to 231,854,842.69 and 500,029,326

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Solution

The third proportional to 231,854,842.69 and 500,029,326 is: 1,078,387,339.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,854,842.69 : 500,029,326 = 500,029,326 : x
  2. Step 2: Convert to fraction form
    231,854,842.69/500,029,326 = 500,029,326/x
  3. Step 3: Cross multiply
    231,854,842.69x = 500,029,326 × 500,029,326
  4. Step 4: Simplify right side
    231,854,842.69x = 250,029,326,860,014,272
  5. Step 5: Solve for x
    x = 250,029,326,860,014,272/231,854,842.69
  6. Step 6: Final answer
    x = 1,078,387,339.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.