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Finding the Third Proportional to 111,816 and 223,539.50

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Solution

The third proportional to 111,816 and 223,539.50 is: 446,894.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,816 : 223,539.50 = 223,539.50 : x
  2. Step 2: Convert to fraction form
    111,816/223,539.50 = 223,539.50/x
  3. Step 3: Cross multiply
    111,816x = 223,539.50 × 223,539.50
  4. Step 4: Simplify right side
    111,816x = 49,969,908,060.25
  5. Step 5: Solve for x
    x = 49,969,908,060.25/111,816
  6. Step 6: Final answer
    x = 446,894.08

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.