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Finding the Third Proportional to 83,780.58 and 179,554.22

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Solution

The third proportional to 83,780.58 and 179,554.22 is: 384,811.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,780.58 : 179,554.22 = 179,554.22 : x
  2. Step 2: Convert to fraction form
    83,780.58/179,554.22 = 179,554.22/x
  3. Step 3: Cross multiply
    83,780.58x = 179,554.22 × 179,554.22
  4. Step 4: Simplify right side
    83,780.58x = 32,239,717,470.92
  5. Step 5: Solve for x
    x = 32,239,717,470.92/83,780.58
  6. Step 6: Final answer
    x = 384,811.35

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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.