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Finding the Third Proportional to 93,398 and 204,940

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Solution

The third proportional to 93,398 and 204,940 is: 449,692.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,398 : 204,940 = 204,940 : x
  2. Step 2: Convert to fraction form
    93,398/204,940 = 204,940/x
  3. Step 3: Cross multiply
    93,398x = 204,940 × 204,940
  4. Step 4: Simplify right side
    93,398x = 42,000,403,600
  5. Step 5: Solve for x
    x = 42,000,403,600/93,398
  6. Step 6: Final answer
    x = 449,692.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.