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Finding the Third Proportional to 46,108 and 93,907

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Solution

The third proportional to 46,108 and 93,907 is: 191,258.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,108 : 93,907 = 93,907 : x
  2. Step 2: Convert to fraction form
    46,108/93,907 = 93,907/x
  3. Step 3: Cross multiply
    46,108x = 93,907 × 93,907
  4. Step 4: Simplify right side
    46,108x = 8,818,524,649
  5. Step 5: Solve for x
    x = 8,818,524,649/46,108
  6. Step 6: Final answer
    x = 191,258.02

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.