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Finding the Third Proportional to 93.94 and 202.32

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Solution

The third proportional to 93.94 and 202.32 is: 435.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.94 : 202.32 = 202.32 : x
  2. Step 2: Convert to fraction form
    93.94/202.32 = 202.32/x
  3. Step 3: Cross multiply
    93.94x = 202.32 × 202.32
  4. Step 4: Simplify right side
    93.94x = 40,935.09
  5. Step 5: Solve for x
    x = 40,935.09/93.94
  6. Step 6: Final answer
    x = 435.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.