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Finding the Third Proportional to 92.19 and 192.06

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Solution

The third proportional to 92.19 and 192.06 is: 400.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.19 : 192.06 = 192.06 : x
  2. Step 2: Convert to fraction form
    92.19/192.06 = 192.06/x
  3. Step 3: Cross multiply
    92.19x = 192.06 × 192.06
  4. Step 4: Simplify right side
    92.19x = 36,888.00
  5. Step 5: Solve for x
    x = 36,888.00/92.19
  6. Step 6: Final answer
    x = 400.14

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.