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Finding the Third Proportional to 66,523.15 and 100,476.70

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Solution

The third proportional to 66,523.15 and 100,476.70 is: 151,760.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,523.15 : 100,476.70 = 100,476.70 : x
  2. Step 2: Convert to fraction form
    66,523.15/100,476.70 = 100,476.70/x
  3. Step 3: Cross multiply
    66,523.15x = 100,476.70 × 100,476.70
  4. Step 4: Simplify right side
    66,523.15x = 10,095,567,870.87
  5. Step 5: Solve for x
    x = 10,095,567,870.87/66,523.15
  6. Step 6: Final answer
    x = 151,760.22

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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.