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Finding the Third Proportional to 92.18 and 202.08

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Solution

The third proportional to 92.18 and 202.08 is: 443.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.18 : 202.08 = 202.08 : x
  2. Step 2: Convert to fraction form
    92.18/202.08 = 202.08/x
  3. Step 3: Cross multiply
    92.18x = 202.08 × 202.08
  4. Step 4: Simplify right side
    92.18x = 40,835.57
  5. Step 5: Solve for x
    x = 40,835.57/92.18
  6. Step 6: Final answer
    x = 443.00

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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.