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Finding the Third Proportional to 90,616 and 196,165.50

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Solution

The third proportional to 90,616 and 196,165.50 is: 424,659.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,616 : 196,165.50 = 196,165.50 : x
  2. Step 2: Convert to fraction form
    90,616/196,165.50 = 196,165.50/x
  3. Step 3: Cross multiply
    90,616x = 196,165.50 × 196,165.50
  4. Step 4: Simplify right side
    90,616x = 38,480,903,390.25
  5. Step 5: Solve for x
    x = 38,480,903,390.25/90,616
  6. Step 6: Final answer
    x = 424,659.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.