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Finding the Third Proportional to 100,394.44 and 209,111.63

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Solution

The third proportional to 100,394.44 and 209,111.63 is: 435,558.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,394.44 : 209,111.63 = 209,111.63 : x
  2. Step 2: Convert to fraction form
    100,394.44/209,111.63 = 209,111.63/x
  3. Step 3: Cross multiply
    100,394.44x = 209,111.63 × 209,111.63
  4. Step 4: Simplify right side
    100,394.44x = 43,727,671,710.14
  5. Step 5: Solve for x
    x = 43,727,671,710.14/100,394.44
  6. Step 6: Final answer
    x = 435,558.71

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.