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Finding the Third Proportional to 94.63 and 202.93

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Solution

The third proportional to 94.63 and 202.93 is: 435.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.63 : 202.93 = 202.93 : x
  2. Step 2: Convert to fraction form
    94.63/202.93 = 202.93/x
  3. Step 3: Cross multiply
    94.63x = 202.93 × 202.93
  4. Step 4: Simplify right side
    94.63x = 41,181.30
  5. Step 5: Solve for x
    x = 41,181.30/94.63
  6. Step 6: Final answer
    x = 435.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.