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Finding the Third Proportional to 77,896.69 and 173,828.53

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Solution

The third proportional to 77,896.69 and 173,828.53 is: 387,902.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,896.69 : 173,828.53 = 173,828.53 : x
  2. Step 2: Convert to fraction form
    77,896.69/173,828.53 = 173,828.53/x
  3. Step 3: Cross multiply
    77,896.69x = 173,828.53 × 173,828.53
  4. Step 4: Simplify right side
    77,896.69x = 30,216,358,276.53
  5. Step 5: Solve for x
    x = 30,216,358,276.53/77,896.69
  6. Step 6: Final answer
    x = 387,902.99

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.