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Finding the Third Proportional to 84,189.38 and 180,052.88

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Solution

The third proportional to 84,189.38 and 180,052.88 is: 385,072.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,189.38 : 180,052.88 = 180,052.88 : x
  2. Step 2: Convert to fraction form
    84,189.38/180,052.88 = 180,052.88/x
  3. Step 3: Cross multiply
    84,189.38x = 180,052.88 × 180,052.88
  4. Step 4: Simplify right side
    84,189.38x = 32,419,037,795.77
  5. Step 5: Solve for x
    x = 32,419,037,795.77/84,189.38
  6. Step 6: Final answer
    x = 385,072.79

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Why These Related Problems?

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