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Finding the Third Proportional to 128,983.50 and 195,422.63

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Solution

The third proportional to 128,983.50 and 195,422.63 is: 296,084.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,983.50 : 195,422.63 = 195,422.63 : x
  2. Step 2: Convert to fraction form
    128,983.50/195,422.63 = 195,422.63/x
  3. Step 3: Cross multiply
    128,983.50x = 195,422.63 × 195,422.63
  4. Step 4: Simplify right side
    128,983.50x = 38,190,002,361.89
  5. Step 5: Solve for x
    x = 38,190,002,361.89/128,983.50
  6. Step 6: Final answer
    x = 296,084.40

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.