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Finding the Third Proportional to 97,326 and 209,844

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Solution

The third proportional to 97,326 and 209,844 is: 452,443.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,326 : 209,844 = 209,844 : x
  2. Step 2: Convert to fraction form
    97,326/209,844 = 209,844/x
  3. Step 3: Cross multiply
    97,326x = 209,844 × 209,844
  4. Step 4: Simplify right side
    97,326x = 44,034,504,336
  5. Step 5: Solve for x
    x = 44,034,504,336/97,326
  6. Step 6: Final answer
    x = 452,443.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.