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Finding the Third Proportional to 84,619.13 and 180,105.19

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Solution

The third proportional to 84,619.13 and 180,105.19 is: 383,339.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,619.13 : 180,105.19 = 180,105.19 : x
  2. Step 2: Convert to fraction form
    84,619.13/180,105.19 = 180,105.19/x
  3. Step 3: Cross multiply
    84,619.13x = 180,105.19 × 180,105.19
  4. Step 4: Simplify right side
    84,619.13x = 32,437,878,564.41
  5. Step 5: Solve for x
    x = 32,437,878,564.41/84,619.13
  6. Step 6: Final answer
    x = 383,339.80

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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.