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Finding the Third Proportional to 107,466.75 and 230,784.19

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Solution

The third proportional to 107,466.75 and 230,784.19 is: 495,607.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,466.75 : 230,784.19 = 230,784.19 : x
  2. Step 2: Convert to fraction form
    107,466.75/230,784.19 = 230,784.19/x
  3. Step 3: Cross multiply
    107,466.75x = 230,784.19 × 230,784.19
  4. Step 4: Simplify right side
    107,466.75x = 53,261,341,200.04
  5. Step 5: Solve for x
    x = 53,261,341,200.04/107,466.75
  6. Step 6: Final answer
    x = 495,607.63

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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.