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Finding the Third Proportional to 46,218.63 and 94,627.63

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Solution

The third proportional to 46,218.63 and 94,627.63 is: 193,739.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,218.63 : 94,627.63 = 94,627.63 : x
  2. Step 2: Convert to fraction form
    46,218.63/94,627.63 = 94,627.63/x
  3. Step 3: Cross multiply
    46,218.63x = 94,627.63 × 94,627.63
  4. Step 4: Simplify right side
    46,218.63x = 8,954,387,413.14
  5. Step 5: Solve for x
    x = 8,954,387,413.14/46,218.63
  6. Step 6: Final answer
    x = 193,739.81

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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.