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Finding the Third Proportional to 92,880 and 203,558.25

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Solution

The third proportional to 92,880 and 203,558.25 is: 446,123.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,880 : 203,558.25 = 203,558.25 : x
  2. Step 2: Convert to fraction form
    92,880/203,558.25 = 203,558.25/x
  3. Step 3: Cross multiply
    92,880x = 203,558.25 × 203,558.25
  4. Step 4: Simplify right side
    92,880x = 41,435,961,143.06
  5. Step 5: Solve for x
    x = 41,435,961,143.06/92,880
  6. Step 6: Final answer
    x = 446,123.61

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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.