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Finding the Third Proportional to 109,002.38 and 234,700.88

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Solution

The third proportional to 109,002.38 and 234,700.88 is: 505,351.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,002.38 : 234,700.88 = 234,700.88 : x
  2. Step 2: Convert to fraction form
    109,002.38/234,700.88 = 234,700.88/x
  3. Step 3: Cross multiply
    109,002.38x = 234,700.88 × 234,700.88
  4. Step 4: Simplify right side
    109,002.38x = 55,084,500,725.77
  5. Step 5: Solve for x
    x = 55,084,500,725.77/109,002.38
  6. Step 6: Final answer
    x = 505,351.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.