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Finding the Third Proportional to 88.88 and 192.47

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Solution

The third proportional to 88.88 and 192.47 is: 416.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.88 : 192.47 = 192.47 : x
  2. Step 2: Convert to fraction form
    88.88/192.47 = 192.47/x
  3. Step 3: Cross multiply
    88.88x = 192.47 × 192.47
  4. Step 4: Simplify right side
    88.88x = 37,044.22
  5. Step 5: Solve for x
    x = 37,044.22/88.88
  6. Step 6: Final answer
    x = 416.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.