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Finding the Third Proportional to 93,718 and 202,404

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Solution

The third proportional to 93,718 and 202,404 is: 437,134.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,718 : 202,404 = 202,404 : x
  2. Step 2: Convert to fraction form
    93,718/202,404 = 202,404/x
  3. Step 3: Cross multiply
    93,718x = 202,404 × 202,404
  4. Step 4: Simplify right side
    93,718x = 40,967,379,216
  5. Step 5: Solve for x
    x = 40,967,379,216/93,718
  6. Step 6: Final answer
    x = 437,134.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.