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Finding the Third Proportional to 111,527,229.75 and 241,582,723.50

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Solution

The third proportional to 111,527,229.75 and 241,582,723.50 is: 523,300,116.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,527,229.75 : 241,582,723.50 = 241,582,723.50 : x
  2. Step 2: Convert to fraction form
    111,527,229.75/241,582,723.50 = 241,582,723.50/x
  3. Step 3: Cross multiply
    111,527,229.75x = 241,582,723.50 × 241,582,723.50
  4. Step 4: Simplify right side
    111,527,229.75x = 58,362,212,293,677,456
  5. Step 5: Solve for x
    x = 58,362,212,293,677,456/111,527,229.75
  6. Step 6: Final answer
    x = 523,300,116.25

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.