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Finding the Third Proportional to 90,358.03 and 194,703.75

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Solution

The third proportional to 90,358.03 and 194,703.75 is: 419,548.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,358.03 : 194,703.75 = 194,703.75 : x
  2. Step 2: Convert to fraction form
    90,358.03/194,703.75 = 194,703.75/x
  3. Step 3: Cross multiply
    90,358.03x = 194,703.75 × 194,703.75
  4. Step 4: Simplify right side
    90,358.03x = 37,909,550,264.06
  5. Step 5: Solve for x
    x = 37,909,550,264.06/90,358.03
  6. Step 6: Final answer
    x = 419,548.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.