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Finding the Third Proportional to 91,812.50 and 197,017

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Solution

The third proportional to 91,812.50 and 197,017 is: 422,771.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,812.50 : 197,017 = 197,017 : x
  2. Step 2: Convert to fraction form
    91,812.50/197,017 = 197,017/x
  3. Step 3: Cross multiply
    91,812.50x = 197,017 × 197,017
  4. Step 4: Simplify right side
    91,812.50x = 38,815,698,289
  5. Step 5: Solve for x
    x = 38,815,698,289/91,812.50
  6. Step 6: Final answer
    x = 422,771.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.