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Finding the Third Proportional to 105,621.75 and 234,856.13

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Solution

The third proportional to 105,621.75 and 234,856.13 is: 522,216.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,621.75 : 234,856.13 = 234,856.13 : x
  2. Step 2: Convert to fraction form
    105,621.75/234,856.13 = 234,856.13/x
  3. Step 3: Cross multiply
    105,621.75x = 234,856.13 × 234,856.13
  4. Step 4: Simplify right side
    105,621.75x = 55,157,399,450.02
  5. Step 5: Solve for x
    x = 55,157,399,450.02/105,621.75
  6. Step 6: Final answer
    x = 522,216.30

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.