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Finding the Third Proportional to 91,899 and 202,423.50

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Solution

The third proportional to 91,899 and 202,423.50 is: 445,872.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,899 : 202,423.50 = 202,423.50 : x
  2. Step 2: Convert to fraction form
    91,899/202,423.50 = 202,423.50/x
  3. Step 3: Cross multiply
    91,899x = 202,423.50 × 202,423.50
  4. Step 4: Simplify right side
    91,899x = 40,975,273,352.25
  5. Step 5: Solve for x
    x = 40,975,273,352.25/91,899
  6. Step 6: Final answer
    x = 445,872.90

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.