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Finding the Third Proportional to 91,035.75 and 198,747

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Solution

The third proportional to 91,035.75 and 198,747 is: 433,899.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,035.75 : 198,747 = 198,747 : x
  2. Step 2: Convert to fraction form
    91,035.75/198,747 = 198,747/x
  3. Step 3: Cross multiply
    91,035.75x = 198,747 × 198,747
  4. Step 4: Simplify right side
    91,035.75x = 39,500,370,009
  5. Step 5: Solve for x
    x = 39,500,370,009/91,035.75
  6. Step 6: Final answer
    x = 433,899.54

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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.