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Finding the Third Proportional to 91,450.50 and 199,659

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Solution

The third proportional to 91,450.50 and 199,659 is: 435,904.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,450.50 : 199,659 = 199,659 : x
  2. Step 2: Convert to fraction form
    91,450.50/199,659 = 199,659/x
  3. Step 3: Cross multiply
    91,450.50x = 199,659 × 199,659
  4. Step 4: Simplify right side
    91,450.50x = 39,863,716,281
  5. Step 5: Solve for x
    x = 39,863,716,281/91,450.50
  6. Step 6: Final answer
    x = 435,904.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.