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Finding the Third Proportional to 111,149.88 and 233,915

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Solution

The third proportional to 111,149.88 and 233,915 is: 492,274.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,149.88 : 233,915 = 233,915 : x
  2. Step 2: Convert to fraction form
    111,149.88/233,915 = 233,915/x
  3. Step 3: Cross multiply
    111,149.88x = 233,915 × 233,915
  4. Step 4: Simplify right side
    111,149.88x = 54,716,227,225
  5. Step 5: Solve for x
    x = 54,716,227,225/111,149.88
  6. Step 6: Final answer
    x = 492,274.30

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.