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Finding the Third Proportional to 46,728.13 and 101,343.63

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Solution

The third proportional to 46,728.13 and 101,343.63 is: 219,793.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,728.13 : 101,343.63 = 101,343.63 : x
  2. Step 2: Convert to fraction form
    46,728.13/101,343.63 = 101,343.63/x
  3. Step 3: Cross multiply
    46,728.13x = 101,343.63 × 101,343.63
  4. Step 4: Simplify right side
    46,728.13x = 10,270,530,328.14
  5. Step 5: Solve for x
    x = 10,270,530,328.14/46,728.13
  6. Step 6: Final answer
    x = 219,793.33

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.