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Finding the Third Proportional to 96,808.50 and 208,448.44

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Solution

The third proportional to 96,808.50 and 208,448.44 is: 448,831.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,808.50 : 208,448.44 = 208,448.44 : x
  2. Step 2: Convert to fraction form
    96,808.50/208,448.44 = 208,448.44/x
  3. Step 3: Cross multiply
    96,808.50x = 208,448.44 × 208,448.44
  4. Step 4: Simplify right side
    96,808.50x = 43,450,751,096.19
  5. Step 5: Solve for x
    x = 43,450,751,096.19/96,808.50
  6. Step 6: Final answer
    x = 448,831.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.