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Finding the Third Proportional to 99,511.88 and 208,244.25

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Solution

The third proportional to 99,511.88 and 208,244.25 is: 435,783.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,511.88 : 208,244.25 = 208,244.25 : x
  2. Step 2: Convert to fraction form
    99,511.88/208,244.25 = 208,244.25/x
  3. Step 3: Cross multiply
    99,511.88x = 208,244.25 × 208,244.25
  4. Step 4: Simplify right side
    99,511.88x = 43,365,667,658.06
  5. Step 5: Solve for x
    x = 43,365,667,658.06/99,511.88
  6. Step 6: Final answer
    x = 435,783.85

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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.