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Finding the Third Proportional to 90,028 and 194,011

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Solution

The third proportional to 90,028 and 194,011 is: 418,095.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,028 : 194,011 = 194,011 : x
  2. Step 2: Convert to fraction form
    90,028/194,011 = 194,011/x
  3. Step 3: Cross multiply
    90,028x = 194,011 × 194,011
  4. Step 4: Simplify right side
    90,028x = 37,640,268,121
  5. Step 5: Solve for x
    x = 37,640,268,121/90,028
  6. Step 6: Final answer
    x = 418,095.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.