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Finding the Third Proportional to 45,911 and 98,823

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Solution

The third proportional to 45,911 and 98,823 is: 212,715.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,911 : 98,823 = 98,823 : x
  2. Step 2: Convert to fraction form
    45,911/98,823 = 98,823/x
  3. Step 3: Cross multiply
    45,911x = 98,823 × 98,823
  4. Step 4: Simplify right side
    45,911x = 9,765,985,329
  5. Step 5: Solve for x
    x = 9,765,985,329/45,911
  6. Step 6: Final answer
    x = 212,715.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.