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Finding the Third Proportional to 90,301.50 and 193,108.50

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Solution

The third proportional to 90,301.50 and 193,108.50 is: 412,959.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,301.50 : 193,108.50 = 193,108.50 : x
  2. Step 2: Convert to fraction form
    90,301.50/193,108.50 = 193,108.50/x
  3. Step 3: Cross multiply
    90,301.50x = 193,108.50 × 193,108.50
  4. Step 4: Simplify right side
    90,301.50x = 37,290,892,772.25
  5. Step 5: Solve for x
    x = 37,290,892,772.25/90,301.50
  6. Step 6: Final answer
    x = 412,959.84

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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.