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Finding the Third Proportional to 84,912.19 and 179,938.69

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Solution

The third proportional to 84,912.19 and 179,938.69 is: 381,310.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,912.19 : 179,938.69 = 179,938.69 : x
  2. Step 2: Convert to fraction form
    84,912.19/179,938.69 = 179,938.69/x
  3. Step 3: Cross multiply
    84,912.19x = 179,938.69 × 179,938.69
  4. Step 4: Simplify right side
    84,912.19x = 32,377,931,259.22
  5. Step 5: Solve for x
    x = 32,377,931,259.22/84,912.19
  6. Step 6: Final answer
    x = 381,310.77

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.