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Finding the Third Proportional to 93,632 and 204,800

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Solution

The third proportional to 93,632 and 204,800 is: 447,956.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,632 : 204,800 = 204,800 : x
  2. Step 2: Convert to fraction form
    93,632/204,800 = 204,800/x
  3. Step 3: Cross multiply
    93,632x = 204,800 × 204,800
  4. Step 4: Simplify right side
    93,632x = 41,943,040,000
  5. Step 5: Solve for x
    x = 41,943,040,000/93,632
  6. Step 6: Final answer
    x = 447,956.25

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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.