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Finding the Third Proportional to 111,323.50 and 228,101

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Solution

The third proportional to 111,323.50 and 228,101 is: 467,377.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,323.50 : 228,101 = 228,101 : x
  2. Step 2: Convert to fraction form
    111,323.50/228,101 = 228,101/x
  3. Step 3: Cross multiply
    111,323.50x = 228,101 × 228,101
  4. Step 4: Simplify right side
    111,323.50x = 52,030,066,201
  5. Step 5: Solve for x
    x = 52,030,066,201/111,323.50
  6. Step 6: Final answer
    x = 467,377.20

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.