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Finding the Third Proportional to 44,200 and 96,168

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Solution

The third proportional to 44,200 and 96,168 is: 209,237.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,200 : 96,168 = 96,168 : x
  2. Step 2: Convert to fraction form
    44,200/96,168 = 96,168/x
  3. Step 3: Cross multiply
    44,200x = 96,168 × 96,168
  4. Step 4: Simplify right side
    44,200x = 9,248,284,224
  5. Step 5: Solve for x
    x = 9,248,284,224/44,200
  6. Step 6: Final answer
    x = 209,237.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.