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Finding the Third Proportional to 101,891 and 223,465

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Solution

The third proportional to 101,891 and 223,465 is: 490,098.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,891 : 223,465 = 223,465 : x
  2. Step 2: Convert to fraction form
    101,891/223,465 = 223,465/x
  3. Step 3: Cross multiply
    101,891x = 223,465 × 223,465
  4. Step 4: Simplify right side
    101,891x = 49,936,606,225
  5. Step 5: Solve for x
    x = 49,936,606,225/101,891
  6. Step 6: Final answer
    x = 490,098.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.