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Finding the Third Proportional to 91,101.50 and 199,753

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Solution

The third proportional to 91,101.50 and 199,753 is: 437,986.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,101.50 : 199,753 = 199,753 : x
  2. Step 2: Convert to fraction form
    91,101.50/199,753 = 199,753/x
  3. Step 3: Cross multiply
    91,101.50x = 199,753 × 199,753
  4. Step 4: Simplify right side
    91,101.50x = 39,901,261,009
  5. Step 5: Solve for x
    x = 39,901,261,009/91,101.50
  6. Step 6: Final answer
    x = 437,986.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.