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Finding the Third Proportional to 117,622.31 and 186,924.19

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Solution

The third proportional to 117,622.31 and 186,924.19 is: 297,058.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,622.31 : 186,924.19 = 186,924.19 : x
  2. Step 2: Convert to fraction form
    117,622.31/186,924.19 = 186,924.19/x
  3. Step 3: Cross multiply
    117,622.31x = 186,924.19 × 186,924.19
  4. Step 4: Simplify right side
    117,622.31x = 34,940,651,872.54
  5. Step 5: Solve for x
    x = 34,940,651,872.54/117,622.31
  6. Step 6: Final answer
    x = 297,058.03

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.