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Finding the Third Proportional to 83,821.64 and 179,628.05

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Solution

The third proportional to 83,821.64 and 179,628.05 is: 384,939.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,821.64 : 179,628.05 = 179,628.05 : x
  2. Step 2: Convert to fraction form
    83,821.64/179,628.05 = 179,628.05/x
  3. Step 3: Cross multiply
    83,821.64x = 179,628.05 × 179,628.05
  4. Step 4: Simplify right side
    83,821.64x = 32,266,235,224.13
  5. Step 5: Solve for x
    x = 32,266,235,224.13/83,821.64
  6. Step 6: Final answer
    x = 384,939.20

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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.