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Finding the Third Proportional to 104,044.50 and 223,870.50

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Solution

The third proportional to 104,044.50 and 223,870.50 is: 481,697.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,044.50 : 223,870.50 = 223,870.50 : x
  2. Step 2: Convert to fraction form
    104,044.50/223,870.50 = 223,870.50/x
  3. Step 3: Cross multiply
    104,044.50x = 223,870.50 × 223,870.50
  4. Step 4: Simplify right side
    104,044.50x = 50,118,000,770.25
  5. Step 5: Solve for x
    x = 50,118,000,770.25/104,044.50
  6. Step 6: Final answer
    x = 481,697.74

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.