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Finding the Third Proportional to 104,168.69 and 155,808.80

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Solution

The third proportional to 104,168.69 and 155,808.80 is: 233,048.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,168.69 : 155,808.80 = 155,808.80 : x
  2. Step 2: Convert to fraction form
    104,168.69/155,808.80 = 155,808.80/x
  3. Step 3: Cross multiply
    104,168.69x = 155,808.80 × 155,808.80
  4. Step 4: Simplify right side
    104,168.69x = 24,276,382,096.57
  5. Step 5: Solve for x
    x = 24,276,382,096.57/104,168.69
  6. Step 6: Final answer
    x = 233,048.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.