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Finding the Third Proportional to 92,896.24 and 203,510.60

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Solution

The third proportional to 92,896.24 and 203,510.60 is: 445,836.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,896.24 : 203,510.60 = 203,510.60 : x
  2. Step 2: Convert to fraction form
    92,896.24/203,510.60 = 203,510.60/x
  3. Step 3: Cross multiply
    92,896.24x = 203,510.60 × 203,510.60
  4. Step 4: Simplify right side
    92,896.24x = 41,416,564,948.33
  5. Step 5: Solve for x
    x = 41,416,564,948.33/92,896.24
  6. Step 6: Final answer
    x = 445,836.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.