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Finding the Third Proportional to 90,360 and 195,462

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Solution

The third proportional to 90,360 and 195,462 is: 422,813.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,360 : 195,462 = 195,462 : x
  2. Step 2: Convert to fraction form
    90,360/195,462 = 195,462/x
  3. Step 3: Cross multiply
    90,360x = 195,462 × 195,462
  4. Step 4: Simplify right side
    90,360x = 38,205,393,444
  5. Step 5: Solve for x
    x = 38,205,393,444/90,360
  6. Step 6: Final answer
    x = 422,813.12

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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.