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Finding the Third Proportional to 135,999 and 199,849.50

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Solution

The third proportional to 135,999 and 199,849.50 is: 293,677.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,999 : 199,849.50 = 199,849.50 : x
  2. Step 2: Convert to fraction form
    135,999/199,849.50 = 199,849.50/x
  3. Step 3: Cross multiply
    135,999x = 199,849.50 × 199,849.50
  4. Step 4: Simplify right side
    135,999x = 39,939,822,650.25
  5. Step 5: Solve for x
    x = 39,939,822,650.25/135,999
  6. Step 6: Final answer
    x = 293,677.33

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.