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Finding the Third Proportional to 66,100.97 and 99,298.03

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Solution

The third proportional to 66,100.97 and 99,298.03 is: 149,167.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,100.97 : 99,298.03 = 99,298.03 : x
  2. Step 2: Convert to fraction form
    66,100.97/99,298.03 = 99,298.03/x
  3. Step 3: Cross multiply
    66,100.97x = 99,298.03 × 99,298.03
  4. Step 4: Simplify right side
    66,100.97x = 9,860,099,010.13
  5. Step 5: Solve for x
    x = 9,860,099,010.13/66,100.97
  6. Step 6: Final answer
    x = 149,167.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.