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Finding the Third Proportional to 84,621.38 and 180,208.13

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Solution

The third proportional to 84,621.38 and 180,208.13 is: 383,767.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,621.38 : 180,208.13 = 180,208.13 : x
  2. Step 2: Convert to fraction form
    84,621.38/180,208.13 = 180,208.13/x
  3. Step 3: Cross multiply
    84,621.38x = 180,208.13 × 180,208.13
  4. Step 4: Simplify right side
    84,621.38x = 32,474,968,316.02
  5. Step 5: Solve for x
    x = 32,474,968,316.02/84,621.38
  6. Step 6: Final answer
    x = 383,767.91

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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.