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Finding the Third Proportional to 90,848.78 and 212,190.26

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Solution

The third proportional to 90,848.78 and 212,190.26 is: 495,600.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,848.78 : 212,190.26 = 212,190.26 : x
  2. Step 2: Convert to fraction form
    90,848.78/212,190.26 = 212,190.26/x
  3. Step 3: Cross multiply
    90,848.78x = 212,190.26 × 212,190.26
  4. Step 4: Simplify right side
    90,848.78x = 45,024,705,510.54
  5. Step 5: Solve for x
    x = 45,024,705,510.54/90,848.78
  6. Step 6: Final answer
    x = 495,600.57

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.