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Finding the Third Proportional to 110,412 and 233,986.50

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Solution

The third proportional to 110,412 and 233,986.50 is: 495,867.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,412 : 233,986.50 = 233,986.50 : x
  2. Step 2: Convert to fraction form
    110,412/233,986.50 = 233,986.50/x
  3. Step 3: Cross multiply
    110,412x = 233,986.50 × 233,986.50
  4. Step 4: Simplify right side
    110,412x = 54,749,682,182.25
  5. Step 5: Solve for x
    x = 54,749,682,182.25/110,412
  6. Step 6: Final answer
    x = 495,867.14

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.