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Finding the Third Proportional to 93,653.72 and 204,814.83

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Solution

The third proportional to 93,653.72 and 204,814.83 is: 447,917.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,653.72 : 204,814.83 = 204,814.83 : x
  2. Step 2: Convert to fraction form
    93,653.72/204,814.83 = 204,814.83/x
  3. Step 3: Cross multiply
    93,653.72x = 204,814.83 × 204,814.83
  4. Step 4: Simplify right side
    93,653.72x = 41,949,113,819.87
  5. Step 5: Solve for x
    x = 41,949,113,819.87/93,653.72
  6. Step 6: Final answer
    x = 447,917.23

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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.