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Finding the Third Proportional to 66,944.81 and 101,103.19

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Solution

The third proportional to 66,944.81 and 101,103.19 is: 152,690.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,944.81 : 101,103.19 = 101,103.19 : x
  2. Step 2: Convert to fraction form
    66,944.81/101,103.19 = 101,103.19/x
  3. Step 3: Cross multiply
    66,944.81x = 101,103.19 × 101,103.19
  4. Step 4: Simplify right side
    66,944.81x = 10,221,854,522.66
  5. Step 5: Solve for x
    x = 10,221,854,522.66/66,944.81
  6. Step 6: Final answer
    x = 152,690.76

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.