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Finding the Third Proportional to 90,887.25 and 194,145.75

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Solution

The third proportional to 90,887.25 and 194,145.75 is: 414,717.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,887.25 : 194,145.75 = 194,145.75 : x
  2. Step 2: Convert to fraction form
    90,887.25/194,145.75 = 194,145.75/x
  3. Step 3: Cross multiply
    90,887.25x = 194,145.75 × 194,145.75
  4. Step 4: Simplify right side
    90,887.25x = 37,692,572,243.06
  5. Step 5: Solve for x
    x = 37,692,572,243.06/90,887.25
  6. Step 6: Final answer
    x = 414,717.93

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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.