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Finding the Third Proportional to 100,858.50 and 219,458

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Solution

The third proportional to 100,858.50 and 219,458 is: 477,518.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,858.50 : 219,458 = 219,458 : x
  2. Step 2: Convert to fraction form
    100,858.50/219,458 = 219,458/x
  3. Step 3: Cross multiply
    100,858.50x = 219,458 × 219,458
  4. Step 4: Simplify right side
    100,858.50x = 48,161,813,764
  5. Step 5: Solve for x
    x = 48,161,813,764/100,858.50
  6. Step 6: Final answer
    x = 477,518.64

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Why These Related Problems?

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