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Finding the Third Proportional to 83,222.75 and 179,746.91

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Solution

The third proportional to 83,222.75 and 179,746.91 is: 388,222.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,222.75 : 179,746.91 = 179,746.91 : x
  2. Step 2: Convert to fraction form
    83,222.75/179,746.91 = 179,746.91/x
  3. Step 3: Cross multiply
    83,222.75x = 179,746.91 × 179,746.91
  4. Step 4: Simplify right side
    83,222.75x = 32,308,951,710.72
  5. Step 5: Solve for x
    x = 32,308,951,710.72/83,222.75
  6. Step 6: Final answer
    x = 388,222.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.