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Finding the Third Proportional to 104,616.75 and 214,741.50

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Solution

The third proportional to 104,616.75 and 214,741.50 is: 440,788.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,616.75 : 214,741.50 = 214,741.50 : x
  2. Step 2: Convert to fraction form
    104,616.75/214,741.50 = 214,741.50/x
  3. Step 3: Cross multiply
    104,616.75x = 214,741.50 × 214,741.50
  4. Step 4: Simplify right side
    104,616.75x = 46,113,911,822.25
  5. Step 5: Solve for x
    x = 46,113,911,822.25/104,616.75
  6. Step 6: Final answer
    x = 440,788.99

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.