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Finding the Third Proportional to 109,885.50 and 233,271

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Solution

The third proportional to 109,885.50 and 233,271 is: 495,200.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,885.50 : 233,271 = 233,271 : x
  2. Step 2: Convert to fraction form
    109,885.50/233,271 = 233,271/x
  3. Step 3: Cross multiply
    109,885.50x = 233,271 × 233,271
  4. Step 4: Simplify right side
    109,885.50x = 54,415,359,441
  5. Step 5: Solve for x
    x = 54,415,359,441/109,885.50
  6. Step 6: Final answer
    x = 495,200.54

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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.