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Finding the Third Proportional to 100,707 and 221,659.50

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Solution

The third proportional to 100,707 and 221,659.50 is: 487,880.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,707 : 221,659.50 = 221,659.50 : x
  2. Step 2: Convert to fraction form
    100,707/221,659.50 = 221,659.50/x
  3. Step 3: Cross multiply
    100,707x = 221,659.50 × 221,659.50
  4. Step 4: Simplify right side
    100,707x = 49,132,933,940.25
  5. Step 5: Solve for x
    x = 49,132,933,940.25/100,707
  6. Step 6: Final answer
    x = 487,880.03

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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.