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Finding the Third Proportional to 96,838 and 208,971

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Solution

The third proportional to 96,838 and 208,971 is: 450,947.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,838 : 208,971 = 208,971 : x
  2. Step 2: Convert to fraction form
    96,838/208,971 = 208,971/x
  3. Step 3: Cross multiply
    96,838x = 208,971 × 208,971
  4. Step 4: Simplify right side
    96,838x = 43,668,878,841
  5. Step 5: Solve for x
    x = 43,668,878,841/96,838
  6. Step 6: Final answer
    x = 450,947.76

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