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Finding the Third Proportional to 101,664 and 223,276.50

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Solution

The third proportional to 101,664 and 223,276.50 is: 490,364.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,664 : 223,276.50 = 223,276.50 : x
  2. Step 2: Convert to fraction form
    101,664/223,276.50 = 223,276.50/x
  3. Step 3: Cross multiply
    101,664x = 223,276.50 × 223,276.50
  4. Step 4: Simplify right side
    101,664x = 49,852,395,452.25
  5. Step 5: Solve for x
    x = 49,852,395,452.25/101,664
  6. Step 6: Final answer
    x = 490,364.29

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.