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Finding the Third Proportional to 109,014 and 234,724.50

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Solution

The third proportional to 109,014 and 234,724.50 is: 505,399.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,014 : 234,724.50 = 234,724.50 : x
  2. Step 2: Convert to fraction form
    109,014/234,724.50 = 234,724.50/x
  3. Step 3: Cross multiply
    109,014x = 234,724.50 × 234,724.50
  4. Step 4: Simplify right side
    109,014x = 55,095,590,900.25
  5. Step 5: Solve for x
    x = 55,095,590,900.25/109,014
  6. Step 6: Final answer
    x = 505,399.22

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.