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Finding the Third Proportional to 93,357 and 202,466

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Solution

The third proportional to 93,357 and 202,466 is: 439,093.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,357 : 202,466 = 202,466 : x
  2. Step 2: Convert to fraction form
    93,357/202,466 = 202,466/x
  3. Step 3: Cross multiply
    93,357x = 202,466 × 202,466
  4. Step 4: Simplify right side
    93,357x = 40,992,481,156
  5. Step 5: Solve for x
    x = 40,992,481,156/93,357
  6. Step 6: Final answer
    x = 439,093.81

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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.