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Finding the Third Proportional to 109,176.75 and 231,473.25

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Solution

The third proportional to 109,176.75 and 231,473.25 is: 490,762.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,176.75 : 231,473.25 = 231,473.25 : x
  2. Step 2: Convert to fraction form
    109,176.75/231,473.25 = 231,473.25/x
  3. Step 3: Cross multiply
    109,176.75x = 231,473.25 × 231,473.25
  4. Step 4: Simplify right side
    109,176.75x = 53,579,865,465.56
  5. Step 5: Solve for x
    x = 53,579,865,465.56/109,176.75
  6. Step 6: Final answer
    x = 490,762.60

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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.