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Finding the Third Proportional to 105,759.42 and 230,812.03

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Solution

The third proportional to 105,759.42 and 230,812.03 is: 503,730.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,759.42 : 230,812.03 = 230,812.03 : x
  2. Step 2: Convert to fraction form
    105,759.42/230,812.03 = 230,812.03/x
  3. Step 3: Cross multiply
    105,759.42x = 230,812.03 × 230,812.03
  4. Step 4: Simplify right side
    105,759.42x = 53,274,193,769.75
  5. Step 5: Solve for x
    x = 53,274,193,769.75/105,759.42
  6. Step 6: Final answer
    x = 503,730.00

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.