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Finding the Third Proportional to 83,019.94 and 178,134.19

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Solution

The third proportional to 83,019.94 and 178,134.19 is: 382,218.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,019.94 : 178,134.19 = 178,134.19 : x
  2. Step 2: Convert to fraction form
    83,019.94/178,134.19 = 178,134.19/x
  3. Step 3: Cross multiply
    83,019.94x = 178,134.19 × 178,134.19
  4. Step 4: Simplify right side
    83,019.94x = 31,731,788,756.29
  5. Step 5: Solve for x
    x = 31,731,788,756.29/83,019.94
  6. Step 6: Final answer
    x = 382,218.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.