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Finding the Third Proportional to 133,384.22 and 195,079.64

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Solution

The third proportional to 133,384.22 and 195,079.64 is: 285,311.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,384.22 : 195,079.64 = 195,079.64 : x
  2. Step 2: Convert to fraction form
    133,384.22/195,079.64 = 195,079.64/x
  3. Step 3: Cross multiply
    133,384.22x = 195,079.64 × 195,079.64
  4. Step 4: Simplify right side
    133,384.22x = 38,056,066,186.38
  5. Step 5: Solve for x
    x = 38,056,066,186.38/133,384.22
  6. Step 6: Final answer
    x = 285,311.61

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.