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Finding the Third Proportional to 88.07 and 190.16

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Solution

The third proportional to 88.07 and 190.16 is: 410.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.07 : 190.16 = 190.16 : x
  2. Step 2: Convert to fraction form
    88.07/190.16 = 190.16/x
  3. Step 3: Cross multiply
    88.07x = 190.16 × 190.16
  4. Step 4: Simplify right side
    88.07x = 36,160.89
  5. Step 5: Solve for x
    x = 36,160.89/88.07
  6. Step 6: Final answer
    x = 410.61

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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.