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Finding the Third Proportional to 93,530 and 202,916

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Solution

The third proportional to 93,530 and 202,916 is: 440,232.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,530 : 202,916 = 202,916 : x
  2. Step 2: Convert to fraction form
    93,530/202,916 = 202,916/x
  3. Step 3: Cross multiply
    93,530x = 202,916 × 202,916
  4. Step 4: Simplify right side
    93,530x = 41,174,903,056
  5. Step 5: Solve for x
    x = 41,174,903,056/93,530
  6. Step 6: Final answer
    x = 440,232.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.