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Finding the Third Proportional to 135,670.78 and 199,441.41

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Solution

The third proportional to 135,670.78 and 199,441.41 is: 293,186.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,670.78 : 199,441.41 = 199,441.41 : x
  2. Step 2: Convert to fraction form
    135,670.78/199,441.41 = 199,441.41/x
  3. Step 3: Cross multiply
    135,670.78x = 199,441.41 × 199,441.41
  4. Step 4: Simplify right side
    135,670.78x = 39,776,874,526.98
  5. Step 5: Solve for x
    x = 39,776,874,526.98/135,670.78
  6. Step 6: Final answer
    x = 293,186.74

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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.