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Finding the Third Proportional to 93,353 and 204,850

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Solution

The third proportional to 93,353 and 204,850 is: 449,514.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,353 : 204,850 = 204,850 : x
  2. Step 2: Convert to fraction form
    93,353/204,850 = 204,850/x
  3. Step 3: Cross multiply
    93,353x = 204,850 × 204,850
  4. Step 4: Simplify right side
    93,353x = 41,963,522,500
  5. Step 5: Solve for x
    x = 41,963,522,500/93,353
  6. Step 6: Final answer
    x = 449,514.45

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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.