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Finding the Third Proportional to 221,842.13 and 485,664.19

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Solution

The third proportional to 221,842.13 and 485,664.19 is: 1,063,232.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,842.13 : 485,664.19 = 485,664.19 : x
  2. Step 2: Convert to fraction form
    221,842.13/485,664.19 = 485,664.19/x
  3. Step 3: Cross multiply
    221,842.13x = 485,664.19 × 485,664.19
  4. Step 4: Simplify right side
    221,842.13x = 235,869,703,020.04
  5. Step 5: Solve for x
    x = 235,869,703,020.04/221,842.13
  6. Step 6: Final answer
    x = 1,063,232.26

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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.