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Finding the Third Proportional to 46,225 and 94,640.50

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Solution

The third proportional to 46,225 and 94,640.50 is: 193,765.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,225 : 94,640.50 = 94,640.50 : x
  2. Step 2: Convert to fraction form
    46,225/94,640.50 = 94,640.50/x
  3. Step 3: Cross multiply
    46,225x = 94,640.50 × 94,640.50
  4. Step 4: Simplify right side
    46,225x = 8,956,824,240.25
  5. Step 5: Solve for x
    x = 8,956,824,240.25/46,225
  6. Step 6: Final answer
    x = 193,765.80

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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.