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Finding the Third Proportional to 84,366.75 and 183,495.38

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Solution

The third proportional to 84,366.75 and 183,495.38 is: 399,097.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,366.75 : 183,495.38 = 183,495.38 : x
  2. Step 2: Convert to fraction form
    84,366.75/183,495.38 = 183,495.38/x
  3. Step 3: Cross multiply
    84,366.75x = 183,495.38 × 183,495.38
  4. Step 4: Simplify right side
    84,366.75x = 33,670,552,646.39
  5. Step 5: Solve for x
    x = 33,670,552,646.39/84,366.75
  6. Step 6: Final answer
    x = 399,097.42

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.