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Finding the Third Proportional to 116,661.09 and 185,498.44

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Solution

The third proportional to 116,661.09 and 185,498.44 is: 294,954.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,661.09 : 185,498.44 = 185,498.44 : x
  2. Step 2: Convert to fraction form
    116,661.09/185,498.44 = 185,498.44/x
  3. Step 3: Cross multiply
    116,661.09x = 185,498.44 × 185,498.44
  4. Step 4: Simplify right side
    116,661.09x = 34,409,670,314.94
  5. Step 5: Solve for x
    x = 34,409,670,314.94/116,661.09
  6. Step 6: Final answer
    x = 294,954.12

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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.