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Finding the Third Proportional to 88,801.50 and 185,811

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Solution

The third proportional to 88,801.50 and 185,811 is: 388,796.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,801.50 : 185,811 = 185,811 : x
  2. Step 2: Convert to fraction form
    88,801.50/185,811 = 185,811/x
  3. Step 3: Cross multiply
    88,801.50x = 185,811 × 185,811
  4. Step 4: Simplify right side
    88,801.50x = 34,525,727,721
  5. Step 5: Solve for x
    x = 34,525,727,721/88,801.50
  6. Step 6: Final answer
    x = 388,796.67

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.