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Finding the Third Proportional to 100,947 and 218,611.50

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Solution

The third proportional to 100,947 and 218,611.50 is: 473,426.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,947 : 218,611.50 = 218,611.50 : x
  2. Step 2: Convert to fraction form
    100,947/218,611.50 = 218,611.50/x
  3. Step 3: Cross multiply
    100,947x = 218,611.50 × 218,611.50
  4. Step 4: Simplify right side
    100,947x = 47,790,987,932.25
  5. Step 5: Solve for x
    x = 47,790,987,932.25/100,947
  6. Step 6: Final answer
    x = 473,426.53

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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.