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Finding the Third Proportional to 92,443.78 and 196,804.69

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Solution

The third proportional to 92,443.78 and 196,804.69 is: 418,979.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,443.78 : 196,804.69 = 196,804.69 : x
  2. Step 2: Convert to fraction form
    92,443.78/196,804.69 = 196,804.69/x
  3. Step 3: Cross multiply
    92,443.78x = 196,804.69 × 196,804.69
  4. Step 4: Simplify right side
    92,443.78x = 38,732,085,021.97
  5. Step 5: Solve for x
    x = 38,732,085,021.97/92,443.78
  6. Step 6: Final answer
    x = 418,979.89

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.