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Finding the Third Proportional to 111,012 and 233,628.50

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Solution

The third proportional to 111,012 and 233,628.50 is: 491,679.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,012 : 233,628.50 = 233,628.50 : x
  2. Step 2: Convert to fraction form
    111,012/233,628.50 = 233,628.50/x
  3. Step 3: Cross multiply
    111,012x = 233,628.50 × 233,628.50
  4. Step 4: Simplify right side
    111,012x = 54,582,276,012.25
  5. Step 5: Solve for x
    x = 54,582,276,012.25/111,012
  6. Step 6: Final answer
    x = 491,679.06

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.