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Finding the Third Proportional to 45,445.50 and 95,859

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Solution

The third proportional to 45,445.50 and 95,859 is: 202,197.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,445.50 : 95,859 = 95,859 : x
  2. Step 2: Convert to fraction form
    45,445.50/95,859 = 95,859/x
  3. Step 3: Cross multiply
    45,445.50x = 95,859 × 95,859
  4. Step 4: Simplify right side
    45,445.50x = 9,188,947,881
  5. Step 5: Solve for x
    x = 9,188,947,881/45,445.50
  6. Step 6: Final answer
    x = 202,197.09

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.