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Finding the Third Proportional to 104,735,180 and 226,131,460

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Solution

The third proportional to 104,735,180 and 226,131,460 is: 488,235,540.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,735,180 : 226,131,460 = 226,131,460 : x
  2. Step 2: Convert to fraction form
    104,735,180/226,131,460 = 226,131,460/x
  3. Step 3: Cross multiply
    104,735,180x = 226,131,460 × 226,131,460
  4. Step 4: Simplify right side
    104,735,180x = 51,135,437,201,731,600
  5. Step 5: Solve for x
    x = 51,135,437,201,731,600/104,735,180
  6. Step 6: Final answer
    x = 488,235,540.36

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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.