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Finding the Third Proportional to 46,823.63 and 103,190.63

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Solution

The third proportional to 46,823.63 and 103,190.63 is: 227,413.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,823.63 : 103,190.63 = 103,190.63 : x
  2. Step 2: Convert to fraction form
    46,823.63/103,190.63 = 103,190.63/x
  3. Step 3: Cross multiply
    46,823.63x = 103,190.63 × 103,190.63
  4. Step 4: Simplify right side
    46,823.63x = 10,648,305,087.89
  5. Step 5: Solve for x
    x = 10,648,305,087.89/46,823.63
  6. Step 6: Final answer
    x = 227,413.09

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.