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Finding the Third Proportional to 101,011 and 219,707

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Solution

The third proportional to 101,011 and 219,707 is: 477,880.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,011 : 219,707 = 219,707 : x
  2. Step 2: Convert to fraction form
    101,011/219,707 = 219,707/x
  3. Step 3: Cross multiply
    101,011x = 219,707 × 219,707
  4. Step 4: Simplify right side
    101,011x = 48,271,165,849
  5. Step 5: Solve for x
    x = 48,271,165,849/101,011
  6. Step 6: Final answer
    x = 477,880.29

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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.