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Finding the Third Proportional to 99,914.25 and 209,065.50

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Solution

The third proportional to 99,914.25 and 209,065.50 is: 437,458.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,914.25 : 209,065.50 = 209,065.50 : x
  2. Step 2: Convert to fraction form
    99,914.25/209,065.50 = 209,065.50/x
  3. Step 3: Cross multiply
    99,914.25x = 209,065.50 × 209,065.50
  4. Step 4: Simplify right side
    99,914.25x = 43,708,383,290.25
  5. Step 5: Solve for x
    x = 43,708,383,290.25/99,914.25
  6. Step 6: Final answer
    x = 437,458.95

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.