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Finding the Third Proportional to 86,016 and 190,464

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Solution

The third proportional to 86,016 and 190,464 is: 421,741.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,016 : 190,464 = 190,464 : x
  2. Step 2: Convert to fraction form
    86,016/190,464 = 190,464/x
  3. Step 3: Cross multiply
    86,016x = 190,464 × 190,464
  4. Step 4: Simplify right side
    86,016x = 36,276,535,296
  5. Step 5: Solve for x
    x = 36,276,535,296/86,016
  6. Step 6: Final answer
    x = 421,741.71

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.