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Finding the Third Proportional to 104,890.50 and 230,194.69

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Solution

The third proportional to 104,890.50 and 230,194.69 is: 505,189.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,890.50 : 230,194.69 = 230,194.69 : x
  2. Step 2: Convert to fraction form
    104,890.50/230,194.69 = 230,194.69/x
  3. Step 3: Cross multiply
    104,890.50x = 230,194.69 × 230,194.69
  4. Step 4: Simplify right side
    104,890.50x = 52,989,594,153.22
  5. Step 5: Solve for x
    x = 52,989,594,153.22/104,890.50
  6. Step 6: Final answer
    x = 505,189.64

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.