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Finding the Third Proportional to 307,006,285.50 and 667,803,201.75

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Solution

The third proportional to 307,006,285.50 and 667,803,201.75 is: 1,452,612,331.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,006,285.50 : 667,803,201.75 = 667,803,201.75 : x
  2. Step 2: Convert to fraction form
    307,006,285.50/667,803,201.75 = 667,803,201.75/x
  3. Step 3: Cross multiply
    307,006,285.50x = 667,803,201.75 × 667,803,201.75
  4. Step 4: Simplify right side
    307,006,285.50x = 445,961,116,267,551,232
  5. Step 5: Solve for x
    x = 445,961,116,267,551,232/307,006,285.50
  6. Step 6: Final answer
    x = 1,452,612,331.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.