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Finding the Third Proportional to 86.48 and 190.03

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Solution

The third proportional to 86.48 and 190.03 is: 417.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.48 : 190.03 = 190.03 : x
  2. Step 2: Convert to fraction form
    86.48/190.03 = 190.03/x
  3. Step 3: Cross multiply
    86.48x = 190.03 × 190.03
  4. Step 4: Simplify right side
    86.48x = 36,111.88
  5. Step 5: Solve for x
    x = 36,111.88/86.48
  6. Step 6: Final answer
    x = 417.55

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.