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Finding the Third Proportional to 44,200 and 96,176

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Solution

The third proportional to 44,200 and 96,176 is: 209,272.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,200 : 96,176 = 96,176 : x
  2. Step 2: Convert to fraction form
    44,200/96,176 = 96,176/x
  3. Step 3: Cross multiply
    44,200x = 96,176 × 96,176
  4. Step 4: Simplify right side
    44,200x = 9,249,822,976
  5. Step 5: Solve for x
    x = 9,249,822,976/44,200
  6. Step 6: Final answer
    x = 209,272.01

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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.