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Finding the Third Proportional to 91,266.75 and 199,341

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Solution

The third proportional to 91,266.75 and 199,341 is: 435,392.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,266.75 : 199,341 = 199,341 : x
  2. Step 2: Convert to fraction form
    91,266.75/199,341 = 199,341/x
  3. Step 3: Cross multiply
    91,266.75x = 199,341 × 199,341
  4. Step 4: Simplify right side
    91,266.75x = 39,736,834,281
  5. Step 5: Solve for x
    x = 39,736,834,281/91,266.75
  6. Step 6: Final answer
    x = 435,392.24

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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.