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Finding the Third Proportional to 91,950.75 and 198,423

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Solution

The third proportional to 91,950.75 and 198,423 is: 428,182.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,950.75 : 198,423 = 198,423 : x
  2. Step 2: Convert to fraction form
    91,950.75/198,423 = 198,423/x
  3. Step 3: Cross multiply
    91,950.75x = 198,423 × 198,423
  4. Step 4: Simplify right side
    91,950.75x = 39,371,686,929
  5. Step 5: Solve for x
    x = 39,371,686,929/91,950.75
  6. Step 6: Final answer
    x = 428,182.34

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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.