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Finding the Third Proportional to 90,631.69 and 194,385.38

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Solution

The third proportional to 90,631.69 and 194,385.38 is: 416,914.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,631.69 : 194,385.38 = 194,385.38 : x
  2. Step 2: Convert to fraction form
    90,631.69/194,385.38 = 194,385.38/x
  3. Step 3: Cross multiply
    90,631.69x = 194,385.38 × 194,385.38
  4. Step 4: Simplify right side
    90,631.69x = 37,785,674,013.89
  5. Step 5: Solve for x
    x = 37,785,674,013.89/90,631.69
  6. Step 6: Final answer
    x = 416,914.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.