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Finding the Third Proportional to 96,391 and 208,871

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Solution

The third proportional to 96,391 and 208,871 is: 452,605.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,391 : 208,871 = 208,871 : x
  2. Step 2: Convert to fraction form
    96,391/208,871 = 208,871/x
  3. Step 3: Cross multiply
    96,391x = 208,871 × 208,871
  4. Step 4: Simplify right side
    96,391x = 43,627,094,641
  5. Step 5: Solve for x
    x = 43,627,094,641/96,391
  6. Step 6: Final answer
    x = 452,605.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.