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Finding the Third Proportional to 105,680 and 220,088

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Solution

The third proportional to 105,680 and 220,088 is: 458,352.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,680 : 220,088 = 220,088 : x
  2. Step 2: Convert to fraction form
    105,680/220,088 = 220,088/x
  3. Step 3: Cross multiply
    105,680x = 220,088 × 220,088
  4. Step 4: Simplify right side
    105,680x = 48,438,727,744
  5. Step 5: Solve for x
    x = 48,438,727,744/105,680
  6. Step 6: Final answer
    x = 458,352.84

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.