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Finding the Third Proportional to 218,403.19 and 467,168.06

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Solution

The third proportional to 218,403.19 and 467,168.06 is: 999,280.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,403.19 : 467,168.06 = 467,168.06 : x
  2. Step 2: Convert to fraction form
    218,403.19/467,168.06 = 467,168.06/x
  3. Step 3: Cross multiply
    218,403.19x = 467,168.06 × 467,168.06
  4. Step 4: Simplify right side
    218,403.19x = 218,245,998,620.00
  5. Step 5: Solve for x
    x = 218,245,998,620.00/218,403.19
  6. Step 6: Final answer
    x = 999,280.28

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.