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Finding the Third Proportional to 84,618.11 and 180,102.87

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Solution

The third proportional to 84,618.11 and 180,102.87 is: 383,334.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,618.11 : 180,102.87 = 180,102.87 : x
  2. Step 2: Convert to fraction form
    84,618.11/180,102.87 = 180,102.87/x
  3. Step 3: Cross multiply
    84,618.11x = 180,102.87 × 180,102.87
  4. Step 4: Simplify right side
    84,618.11x = 32,437,042,769.16
  5. Step 5: Solve for x
    x = 32,437,042,769.16/84,618.11
  6. Step 6: Final answer
    x = 383,334.54

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.