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Finding the Third Proportional to 84,619.69 and 182,467.69

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Solution

The third proportional to 84,619.69 and 182,467.69 is: 393,459.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,619.69 : 182,467.69 = 182,467.69 : x
  2. Step 2: Convert to fraction form
    84,619.69/182,467.69 = 182,467.69/x
  3. Step 3: Cross multiply
    84,619.69x = 182,467.69 × 182,467.69
  4. Step 4: Simplify right side
    84,619.69x = 33,294,456,981.60
  5. Step 5: Solve for x
    x = 33,294,456,981.60/84,619.69
  6. Step 6: Final answer
    x = 393,459.94

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.