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Finding the Third Proportional to 83,783.11 and 179,559.28

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Solution

The third proportional to 83,783.11 and 179,559.28 is: 384,821.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,783.11 : 179,559.28 = 179,559.28 : x
  2. Step 2: Convert to fraction form
    83,783.11/179,559.28 = 179,559.28/x
  3. Step 3: Cross multiply
    83,783.11x = 179,559.28 × 179,559.28
  4. Step 4: Simplify right side
    83,783.11x = 32,241,535,483.02
  5. Step 5: Solve for x
    x = 32,241,535,483.02/83,783.11
  6. Step 6: Final answer
    x = 384,821.42

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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.