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Finding the Third Proportional to 93,683.25 and 204,612.75

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Solution

The third proportional to 93,683.25 and 204,612.75 is: 446,892.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,683.25 : 204,612.75 = 204,612.75 : x
  2. Step 2: Convert to fraction form
    93,683.25/204,612.75 = 204,612.75/x
  3. Step 3: Cross multiply
    93,683.25x = 204,612.75 × 204,612.75
  4. Step 4: Simplify right side
    93,683.25x = 41,866,377,462.56
  5. Step 5: Solve for x
    x = 41,866,377,462.56/93,683.25
  6. Step 6: Final answer
    x = 446,892.88

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.