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Finding the Third Proportional to 100,881 and 227,750.50

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Solution

The third proportional to 100,881 and 227,750.50 is: 514,173.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,881 : 227,750.50 = 227,750.50 : x
  2. Step 2: Convert to fraction form
    100,881/227,750.50 = 227,750.50/x
  3. Step 3: Cross multiply
    100,881x = 227,750.50 × 227,750.50
  4. Step 4: Simplify right side
    100,881x = 51,870,290,250.25
  5. Step 5: Solve for x
    x = 51,870,290,250.25/100,881
  6. Step 6: Final answer
    x = 514,173.04

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.