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Finding the Third Proportional to 100,859 and 219,460.50

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Solution

The third proportional to 100,859 and 219,460.50 is: 477,527.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,859 : 219,460.50 = 219,460.50 : x
  2. Step 2: Convert to fraction form
    100,859/219,460.50 = 219,460.50/x
  3. Step 3: Cross multiply
    100,859x = 219,460.50 × 219,460.50
  4. Step 4: Simplify right side
    100,859x = 48,162,911,060.25
  5. Step 5: Solve for x
    x = 48,162,911,060.25/100,859
  6. Step 6: Final answer
    x = 477,527.15

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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.