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Finding the Third Proportional to 220,197.87 and 469,236.80

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Solution

The third proportional to 220,197.87 and 469,236.80 is: 999,933.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,197.87 : 469,236.80 = 469,236.80 : x
  2. Step 2: Convert to fraction form
    220,197.87/469,236.80 = 469,236.80/x
  3. Step 3: Cross multiply
    220,197.87x = 469,236.80 × 469,236.80
  4. Step 4: Simplify right side
    220,197.87x = 220,183,171,541.51
  5. Step 5: Solve for x
    x = 220,183,171,541.51/220,197.87
  6. Step 6: Final answer
    x = 999,933.26

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.