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Finding the Third Proportional to 91,186.88 and 136,415.81

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Solution

The third proportional to 91,186.88 and 136,415.81 is: 204,078.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,186.88 : 136,415.81 = 136,415.81 : x
  2. Step 2: Convert to fraction form
    91,186.88/136,415.81 = 136,415.81/x
  3. Step 3: Cross multiply
    91,186.88x = 136,415.81 × 136,415.81
  4. Step 4: Simplify right side
    91,186.88x = 18,609,273,900.04
  5. Step 5: Solve for x
    x = 18,609,273,900.04/91,186.88
  6. Step 6: Final answer
    x = 204,078.43

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Why These Related Problems?

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