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Finding the Third Proportional to 105,720.75 and 220,188.94

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Solution

The third proportional to 105,720.75 and 220,188.94 is: 458,596.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,720.75 : 220,188.94 = 220,188.94 : x
  2. Step 2: Convert to fraction form
    105,720.75/220,188.94 = 220,188.94/x
  3. Step 3: Cross multiply
    105,720.75x = 220,188.94 × 220,188.94
  4. Step 4: Simplify right side
    105,720.75x = 48,483,168,197.38
  5. Step 5: Solve for x
    x = 48,483,168,197.38/105,720.75
  6. Step 6: Final answer
    x = 458,596.52

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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.