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Finding the Third Proportional to 46,391.06 and 103,406.63

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Solution

The third proportional to 46,391.06 and 103,406.63 is: 230,495.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,391.06 : 103,406.63 = 103,406.63 : x
  2. Step 2: Convert to fraction form
    46,391.06/103,406.63 = 103,406.63/x
  3. Step 3: Cross multiply
    46,391.06x = 103,406.63 × 103,406.63
  4. Step 4: Simplify right side
    46,391.06x = 10,692,930,093.89
  5. Step 5: Solve for x
    x = 10,692,930,093.89/46,391.06
  6. Step 6: Final answer
    x = 230,495.48

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.