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Finding the Third Proportional to 150,217,638.75 and 320,276,963.25

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Solution

The third proportional to 150,217,638.75 and 320,276,963.25 is: 682,858,112.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,217,638.75 : 320,276,963.25 = 320,276,963.25 : x
  2. Step 2: Convert to fraction form
    150,217,638.75/320,276,963.25 = 320,276,963.25/x
  3. Step 3: Cross multiply
    150,217,638.75x = 320,276,963.25 × 320,276,963.25
  4. Step 4: Simplify right side
    150,217,638.75x = 102,577,333,188,641,856
  5. Step 5: Solve for x
    x = 102,577,333,188,641,856/150,217,638.75
  6. Step 6: Final answer
    x = 682,858,112.02

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.