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Finding the Third Proportional to 90,846.75 and 212,195.63

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Solution

The third proportional to 90,846.75 and 212,195.63 is: 495,636.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,846.75 : 212,195.63 = 212,195.63 : x
  2. Step 2: Convert to fraction form
    90,846.75/212,195.63 = 212,195.63/x
  3. Step 3: Cross multiply
    90,846.75x = 212,195.63 × 212,195.63
  4. Step 4: Simplify right side
    90,846.75x = 45,026,983,269.14
  5. Step 5: Solve for x
    x = 45,026,983,269.14/90,846.75
  6. Step 6: Final answer
    x = 495,636.70

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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.