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Finding the Third Proportional to 166,096.13 and 389,936.81

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Solution

The third proportional to 166,096.13 and 389,936.81 is: 915,438.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,096.13 : 389,936.81 = 389,936.81 : x
  2. Step 2: Convert to fraction form
    166,096.13/389,936.81 = 389,936.81/x
  3. Step 3: Cross multiply
    166,096.13x = 389,936.81 × 389,936.81
  4. Step 4: Simplify right side
    166,096.13x = 152,050,717,742.66
  5. Step 5: Solve for x
    x = 152,050,717,742.66/166,096.13
  6. Step 6: Final answer
    x = 915,438.08

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.