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Finding the Third Proportional to 110,338,287 and 238,229,010

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Solution

The third proportional to 110,338,287 and 238,229,010 is: 514,355,105.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,338,287 : 238,229,010 = 238,229,010 : x
  2. Step 2: Convert to fraction form
    110,338,287/238,229,010 = 238,229,010/x
  3. Step 3: Cross multiply
    110,338,287x = 238,229,010 × 238,229,010
  4. Step 4: Simplify right side
    110,338,287x = 56,753,061,205,580,096
  5. Step 5: Solve for x
    x = 56,753,061,205,580,096/110,338,287
  6. Step 6: Final answer
    x = 514,355,105.09

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