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Finding the Third Proportional to 105,711.75 and 220,155.75

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Solution

The third proportional to 105,711.75 and 220,155.75 is: 458,497.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,711.75 : 220,155.75 = 220,155.75 : x
  2. Step 2: Convert to fraction form
    105,711.75/220,155.75 = 220,155.75/x
  3. Step 3: Cross multiply
    105,711.75x = 220,155.75 × 220,155.75
  4. Step 4: Simplify right side
    105,711.75x = 48,468,554,258.06
  5. Step 5: Solve for x
    x = 48,468,554,258.06/105,711.75
  6. Step 6: Final answer
    x = 458,497.32

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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.