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Finding the Third Proportional to 100,941.50 and 218,604

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Solution

The third proportional to 100,941.50 and 218,604 is: 473,419.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,941.50 : 218,604 = 218,604 : x
  2. Step 2: Convert to fraction form
    100,941.50/218,604 = 218,604/x
  3. Step 3: Cross multiply
    100,941.50x = 218,604 × 218,604
  4. Step 4: Simplify right side
    100,941.50x = 47,787,708,816
  5. Step 5: Solve for x
    x = 47,787,708,816/100,941.50
  6. Step 6: Final answer
    x = 473,419.84

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Why These Related Problems?

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