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Finding the Third Proportional to 105,567 and 215,425.50

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Solution

The third proportional to 105,567 and 215,425.50 is: 439,608.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,567 : 215,425.50 = 215,425.50 : x
  2. Step 2: Convert to fraction form
    105,567/215,425.50 = 215,425.50/x
  3. Step 3: Cross multiply
    105,567x = 215,425.50 × 215,425.50
  4. Step 4: Simplify right side
    105,567x = 46,408,146,050.25
  5. Step 5: Solve for x
    x = 46,408,146,050.25/105,567
  6. Step 6: Final answer
    x = 439,608.46

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.