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Finding the Third Proportional to 88,683.75 and 188,867.25

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Solution

The third proportional to 88,683.75 and 188,867.25 is: 402,225.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,683.75 : 188,867.25 = 188,867.25 : x
  2. Step 2: Convert to fraction form
    88,683.75/188,867.25 = 188,867.25/x
  3. Step 3: Cross multiply
    88,683.75x = 188,867.25 × 188,867.25
  4. Step 4: Simplify right side
    88,683.75x = 35,670,838,122.56
  5. Step 5: Solve for x
    x = 35,670,838,122.56/88,683.75
  6. Step 6: Final answer
    x = 402,225.19

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.