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Finding the Third Proportional to 93.69 and 205.06

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Solution

The third proportional to 93.69 and 205.06 is: 448.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.69 : 205.06 = 205.06 : x
  2. Step 2: Convert to fraction form
    93.69/205.06 = 205.06/x
  3. Step 3: Cross multiply
    93.69x = 205.06 × 205.06
  4. Step 4: Simplify right side
    93.69x = 42,050.63
  5. Step 5: Solve for x
    x = 42,050.63/93.69
  6. Step 6: Final answer
    x = 448.84

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Why These Related Problems?

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