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Finding the Third Proportional to 106,316 and 227,896

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Solution

The third proportional to 106,316 and 227,896 is: 488,511.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,316 : 227,896 = 227,896 : x
  2. Step 2: Convert to fraction form
    106,316/227,896 = 227,896/x
  3. Step 3: Cross multiply
    106,316x = 227,896 × 227,896
  4. Step 4: Simplify right side
    106,316x = 51,936,586,816
  5. Step 5: Solve for x
    x = 51,936,586,816/106,316
  6. Step 6: Final answer
    x = 488,511.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.