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Finding the Third Proportional to 84,655.13 and 180,199.69

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Solution

The third proportional to 84,655.13 and 180,199.69 is: 383,578.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,655.13 : 180,199.69 = 180,199.69 : x
  2. Step 2: Convert to fraction form
    84,655.13/180,199.69 = 180,199.69/x
  3. Step 3: Cross multiply
    84,655.13x = 180,199.69 × 180,199.69
  4. Step 4: Simplify right side
    84,655.13x = 32,471,927,375.10
  5. Step 5: Solve for x
    x = 32,471,927,375.10/84,655.13
  6. Step 6: Final answer
    x = 383,578.99

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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.