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Finding the Third Proportional to 84,164.06 and 180,150.33

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Solution

The third proportional to 84,164.06 and 180,150.33 is: 385,605.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,164.06 : 180,150.33 = 180,150.33 : x
  2. Step 2: Convert to fraction form
    84,164.06/180,150.33 = 180,150.33/x
  3. Step 3: Cross multiply
    84,164.06x = 180,150.33 × 180,150.33
  4. Step 4: Simplify right side
    84,164.06x = 32,454,140,723.55
  5. Step 5: Solve for x
    x = 32,454,140,723.55/84,164.06
  6. Step 6: Final answer
    x = 385,605.68

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.