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Finding the Third Proportional to 93,742.25 and 204,631.75

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Solution

The third proportional to 93,742.25 and 204,631.75 is: 446,694.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,742.25 : 204,631.75 = 204,631.75 : x
  2. Step 2: Convert to fraction form
    93,742.25/204,631.75 = 204,631.75/x
  3. Step 3: Cross multiply
    93,742.25x = 204,631.75 × 204,631.75
  4. Step 4: Simplify right side
    93,742.25x = 41,874,153,108.06
  5. Step 5: Solve for x
    x = 41,874,153,108.06/93,742.25
  6. Step 6: Final answer
    x = 446,694.56

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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.