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Finding the Third Proportional to 93,107 and 202,405

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Solution

The third proportional to 93,107 and 202,405 is: 440,007.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,107 : 202,405 = 202,405 : x
  2. Step 2: Convert to fraction form
    93,107/202,405 = 202,405/x
  3. Step 3: Cross multiply
    93,107x = 202,405 × 202,405
  4. Step 4: Simplify right side
    93,107x = 40,967,784,025
  5. Step 5: Solve for x
    x = 40,967,784,025/93,107
  6. Step 6: Final answer
    x = 440,007.56

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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.