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Finding the Third Proportional to 106,746.75 and 231,025.50

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Solution

The third proportional to 106,746.75 and 231,025.50 is: 499,994.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,746.75 : 231,025.50 = 231,025.50 : x
  2. Step 2: Convert to fraction form
    106,746.75/231,025.50 = 231,025.50/x
  3. Step 3: Cross multiply
    106,746.75x = 231,025.50 × 231,025.50
  4. Step 4: Simplify right side
    106,746.75x = 53,372,781,650.25
  5. Step 5: Solve for x
    x = 53,372,781,650.25/106,746.75
  6. Step 6: Final answer
    x = 499,994.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.