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Finding the Third Proportional to 79,896.94 and 174,828.38

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Solution

The third proportional to 79,896.94 and 174,828.38 is: 382,554.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,896.94 : 174,828.38 = 174,828.38 : x
  2. Step 2: Convert to fraction form
    79,896.94/174,828.38 = 174,828.38/x
  3. Step 3: Cross multiply
    79,896.94x = 174,828.38 × 174,828.38
  4. Step 4: Simplify right side
    79,896.94x = 30,564,960,705.14
  5. Step 5: Solve for x
    x = 30,564,960,705.14/79,896.94
  6. Step 6: Final answer
    x = 382,554.85

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.