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Finding the Third Proportional to 75,946.78 and 166,190.06

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Solution

The third proportional to 75,946.78 and 166,190.06 is: 363,664.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,946.78 : 166,190.06 = 166,190.06 : x
  2. Step 2: Convert to fraction form
    75,946.78/166,190.06 = 166,190.06/x
  3. Step 3: Cross multiply
    75,946.78x = 166,190.06 × 166,190.06
  4. Step 4: Simplify right side
    75,946.78x = 27,619,136,873.75
  5. Step 5: Solve for x
    x = 27,619,136,873.75/75,946.78
  6. Step 6: Final answer
    x = 363,664.35

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.