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Finding the Third Proportional to 107,904 and 229,200

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Solution

The third proportional to 107,904 and 229,200 is: 486,846.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,904 : 229,200 = 229,200 : x
  2. Step 2: Convert to fraction form
    107,904/229,200 = 229,200/x
  3. Step 3: Cross multiply
    107,904x = 229,200 × 229,200
  4. Step 4: Simplify right side
    107,904x = 52,532,640,000
  5. Step 5: Solve for x
    x = 52,532,640,000/107,904
  6. Step 6: Final answer
    x = 486,846.09

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.