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Finding the Third Proportional to 105,622.31 and 234,861.19

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Solution

The third proportional to 105,622.31 and 234,861.19 is: 522,236.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,622.31 : 234,861.19 = 234,861.19 : x
  2. Step 2: Convert to fraction form
    105,622.31/234,861.19 = 234,861.19/x
  3. Step 3: Cross multiply
    105,622.31x = 234,861.19 × 234,861.19
  4. Step 4: Simplify right side
    105,622.31x = 55,159,777,393.91
  5. Step 5: Solve for x
    x = 55,159,777,393.91/105,622.31
  6. Step 6: Final answer
    x = 522,236.03

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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.