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Finding the Third Proportional to 93,494.25 and 204,514.88

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Solution

The third proportional to 93,494.25 and 204,514.88 is: 447,367.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,494.25 : 204,514.88 = 204,514.88 : x
  2. Step 2: Convert to fraction form
    93,494.25/204,514.88 = 204,514.88/x
  3. Step 3: Cross multiply
    93,494.25x = 204,514.88 × 204,514.88
  4. Step 4: Simplify right side
    93,494.25x = 41,826,334,096.27
  5. Step 5: Solve for x
    x = 41,826,334,096.27/93,494.25
  6. Step 6: Final answer
    x = 447,367.98

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