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Finding the Third Proportional to 88.10 and 190.61

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Solution

The third proportional to 88.10 and 190.61 is: 412.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.10 : 190.61 = 190.61 : x
  2. Step 2: Convert to fraction form
    88.10/190.61 = 190.61/x
  3. Step 3: Cross multiply
    88.10x = 190.61 × 190.61
  4. Step 4: Simplify right side
    88.10x = 36,334.07
  5. Step 5: Solve for x
    x = 36,334.07/88.10
  6. Step 6: Final answer
    x = 412.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.