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Finding the Third Proportional to 88,686 and 190,494

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Solution

The third proportional to 88,686 and 190,494 is: 409,173.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,686 : 190,494 = 190,494 : x
  2. Step 2: Convert to fraction form
    88,686/190,494 = 190,494/x
  3. Step 3: Cross multiply
    88,686x = 190,494 × 190,494
  4. Step 4: Simplify right side
    88,686x = 36,287,964,036
  5. Step 5: Solve for x
    x = 36,287,964,036/88,686
  6. Step 6: Final answer
    x = 409,173.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.