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Finding the Third Proportional to 147,933 and 324,023.63

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Solution

The third proportional to 147,933 and 324,023.63 is: 709,722.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,933 : 324,023.63 = 324,023.63 : x
  2. Step 2: Convert to fraction form
    147,933/324,023.63 = 324,023.63/x
  3. Step 3: Cross multiply
    147,933x = 324,023.63 × 324,023.63
  4. Step 4: Simplify right side
    147,933x = 104,991,309,558.14
  5. Step 5: Solve for x
    x = 104,991,309,558.14/147,933
  6. Step 6: Final answer
    x = 709,722.03

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.