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Finding the Third Proportional to 46,990.60 and 103,322.94

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Solution

The third proportional to 46,990.60 and 103,322.94 is: 227,186.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,990.60 : 103,322.94 = 103,322.94 : x
  2. Step 2: Convert to fraction form
    46,990.60/103,322.94 = 103,322.94/x
  3. Step 3: Cross multiply
    46,990.60x = 103,322.94 × 103,322.94
  4. Step 4: Simplify right side
    46,990.60x = 10,675,629,010.02
  5. Step 5: Solve for x
    x = 10,675,629,010.02/46,990.60
  6. Step 6: Final answer
    x = 227,186.48

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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.