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Finding the Third Proportional to 192,701.53 and 414,930.09

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Solution

The third proportional to 192,701.53 and 414,930.09 is: 893,438.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,701.53 : 414,930.09 = 414,930.09 : x
  2. Step 2: Convert to fraction form
    192,701.53/414,930.09 = 414,930.09/x
  3. Step 3: Cross multiply
    192,701.53x = 414,930.09 × 414,930.09
  4. Step 4: Simplify right side
    192,701.53x = 172,166,982,699.38
  5. Step 5: Solve for x
    x = 172,166,982,699.38/192,701.53
  6. Step 6: Final answer
    x = 893,438.58

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