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Finding the Third Proportional to 97,137 and 208,098

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Solution

The third proportional to 97,137 and 208,098 is: 445,811.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,137 : 208,098 = 208,098 : x
  2. Step 2: Convert to fraction form
    97,137/208,098 = 208,098/x
  3. Step 3: Cross multiply
    97,137x = 208,098 × 208,098
  4. Step 4: Simplify right side
    97,137x = 43,304,777,604
  5. Step 5: Solve for x
    x = 43,304,777,604/97,137
  6. Step 6: Final answer
    x = 445,811.36

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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.