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Finding the Third Proportional to 91,656.56 and 194,384.81

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Solution

The third proportional to 91,656.56 and 194,384.81 is: 412,250.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,656.56 : 194,384.81 = 194,384.81 : x
  2. Step 2: Convert to fraction form
    91,656.56/194,384.81 = 194,384.81/x
  3. Step 3: Cross multiply
    91,656.56x = 194,384.81 × 194,384.81
  4. Step 4: Simplify right side
    91,656.56x = 37,785,455,330.66
  5. Step 5: Solve for x
    x = 37,785,455,330.66/91,656.56
  6. Step 6: Final answer
    x = 412,250.41

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.