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Finding the Third Proportional to 41,914 and 91,316

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Solution

The third proportional to 41,914 and 91,316 is: 198,945.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,914 : 91,316 = 91,316 : x
  2. Step 2: Convert to fraction form
    41,914/91,316 = 91,316/x
  3. Step 3: Cross multiply
    41,914x = 91,316 × 91,316
  4. Step 4: Simplify right side
    41,914x = 8,338,611,856
  5. Step 5: Solve for x
    x = 8,338,611,856/41,914
  6. Step 6: Final answer
    x = 198,945.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.