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Finding the Third Proportional to 105,596.65 and 218,679.05

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Solution

The third proportional to 105,596.65 and 218,679.05 is: 452,860.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,596.65 : 218,679.05 = 218,679.05 : x
  2. Step 2: Convert to fraction form
    105,596.65/218,679.05 = 218,679.05/x
  3. Step 3: Cross multiply
    105,596.65x = 218,679.05 × 218,679.05
  4. Step 4: Simplify right side
    105,596.65x = 47,820,525,542.16
  5. Step 5: Solve for x
    x = 47,820,525,542.16/105,596.65
  6. Step 6: Final answer
    x = 452,860.26

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.