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Finding the Third Proportional to 90,896.63 and 195,285.38

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Solution

The third proportional to 90,896.63 and 195,285.38 is: 419,557.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,896.63 : 195,285.38 = 195,285.38 : x
  2. Step 2: Convert to fraction form
    90,896.63/195,285.38 = 195,285.38/x
  3. Step 3: Cross multiply
    90,896.63x = 195,285.38 × 195,285.38
  4. Step 4: Simplify right side
    90,896.63x = 38,136,377,688.89
  5. Step 5: Solve for x
    x = 38,136,377,688.89/90,896.63
  6. Step 6: Final answer
    x = 419,557.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.