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Finding the Third Proportional to 105,570 and 219,876.75

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Solution

The third proportional to 105,570 and 219,876.75 is: 457,950.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,570 : 219,876.75 = 219,876.75 : x
  2. Step 2: Convert to fraction form
    105,570/219,876.75 = 219,876.75/x
  3. Step 3: Cross multiply
    105,570x = 219,876.75 × 219,876.75
  4. Step 4: Simplify right side
    105,570x = 48,345,785,190.56
  5. Step 5: Solve for x
    x = 48,345,785,190.56/105,570
  6. Step 6: Final answer
    x = 457,950.03

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.