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Finding the Third Proportional to 96,878 and 208,600

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Solution

The third proportional to 96,878 and 208,600 is: 449,162.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,878 : 208,600 = 208,600 : x
  2. Step 2: Convert to fraction form
    96,878/208,600 = 208,600/x
  3. Step 3: Cross multiply
    96,878x = 208,600 × 208,600
  4. Step 4: Simplify right side
    96,878x = 43,513,960,000
  5. Step 5: Solve for x
    x = 43,513,960,000/96,878
  6. Step 6: Final answer
    x = 449,162.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.