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Finding the Third Proportional to 97,026.75 and 208,806.75

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Solution

The third proportional to 97,026.75 and 208,806.75 is: 449,363.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,026.75 : 208,806.75 = 208,806.75 : x
  2. Step 2: Convert to fraction form
    97,026.75/208,806.75 = 208,806.75/x
  3. Step 3: Cross multiply
    97,026.75x = 208,806.75 × 208,806.75
  4. Step 4: Simplify right side
    97,026.75x = 43,600,258,845.56
  5. Step 5: Solve for x
    x = 43,600,258,845.56/97,026.75
  6. Step 6: Final answer
    x = 449,363.28

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