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Finding the Third Proportional to 93,105 and 202,401

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Solution

The third proportional to 93,105 and 202,401 is: 439,999.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,105 : 202,401 = 202,401 : x
  2. Step 2: Convert to fraction form
    93,105/202,401 = 202,401/x
  3. Step 3: Cross multiply
    93,105x = 202,401 × 202,401
  4. Step 4: Simplify right side
    93,105x = 40,966,164,801
  5. Step 5: Solve for x
    x = 40,966,164,801/93,105
  6. Step 6: Final answer
    x = 439,999.62

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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.