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Finding the Third Proportional to 95,850.56 and 201,616.31

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Solution

The third proportional to 95,850.56 and 201,616.31 is: 424,088.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,850.56 : 201,616.31 = 201,616.31 : x
  2. Step 2: Convert to fraction form
    95,850.56/201,616.31 = 201,616.31/x
  3. Step 3: Cross multiply
    95,850.56x = 201,616.31 × 201,616.31
  4. Step 4: Simplify right side
    95,850.56x = 40,649,137,466.10
  5. Step 5: Solve for x
    x = 40,649,137,466.10/95,850.56
  6. Step 6: Final answer
    x = 424,088.67

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.