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Finding the Third Proportional to 100,986.75 and 218,688.75

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Solution

The third proportional to 100,986.75 and 218,688.75 is: 473,574.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,986.75 : 218,688.75 = 218,688.75 : x
  2. Step 2: Convert to fraction form
    100,986.75/218,688.75 = 218,688.75/x
  3. Step 3: Cross multiply
    100,986.75x = 218,688.75 × 218,688.75
  4. Step 4: Simplify right side
    100,986.75x = 47,824,769,376.56
  5. Step 5: Solve for x
    x = 47,824,769,376.56/100,986.75
  6. Step 6: Final answer
    x = 473,574.70

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.