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Finding the Third Proportional to 51,121.42 and 109,200.84

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Solution

The third proportional to 51,121.42 and 109,200.84 is: 233,264.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,121.42 : 109,200.84 = 109,200.84 : x
  2. Step 2: Convert to fraction form
    51,121.42/109,200.84 = 109,200.84/x
  3. Step 3: Cross multiply
    51,121.42x = 109,200.84 × 109,200.84
  4. Step 4: Simplify right side
    51,121.42x = 11,924,823,635.86
  5. Step 5: Solve for x
    x = 11,924,823,635.86/51,121.42
  6. Step 6: Final answer
    x = 233,264.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.