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Finding the Third Proportional to 46,229 and 94,649

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Solution

The third proportional to 46,229 and 94,649 is: 193,783.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,229 : 94,649 = 94,649 : x
  2. Step 2: Convert to fraction form
    46,229/94,649 = 94,649/x
  3. Step 3: Cross multiply
    46,229x = 94,649 × 94,649
  4. Step 4: Simplify right side
    46,229x = 8,958,433,201
  5. Step 5: Solve for x
    x = 8,958,433,201/46,229
  6. Step 6: Final answer
    x = 193,783.84

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.