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Finding the Third Proportional to 97,008 and 208,848

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Solution

The third proportional to 97,008 and 208,848 is: 449,627.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,008 : 208,848 = 208,848 : x
  2. Step 2: Convert to fraction form
    97,008/208,848 = 208,848/x
  3. Step 3: Cross multiply
    97,008x = 208,848 × 208,848
  4. Step 4: Simplify right side
    97,008x = 43,617,487,104
  5. Step 5: Solve for x
    x = 43,617,487,104/97,008
  6. Step 6: Final answer
    x = 449,627.73

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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.