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Finding the Third Proportional to 46,334.50 and 101,165

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Solution

The third proportional to 46,334.50 and 101,165 is: 220,879.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,334.50 : 101,165 = 101,165 : x
  2. Step 2: Convert to fraction form
    46,334.50/101,165 = 101,165/x
  3. Step 3: Cross multiply
    46,334.50x = 101,165 × 101,165
  4. Step 4: Simplify right side
    46,334.50x = 10,234,357,225
  5. Step 5: Solve for x
    x = 10,234,357,225/46,334.50
  6. Step 6: Final answer
    x = 220,879.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.