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Finding the Third Proportional to 47,445 and 102,220.50

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Solution

The third proportional to 47,445 and 102,220.50 is: 220,234.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,445 : 102,220.50 = 102,220.50 : x
  2. Step 2: Convert to fraction form
    47,445/102,220.50 = 102,220.50/x
  3. Step 3: Cross multiply
    47,445x = 102,220.50 × 102,220.50
  4. Step 4: Simplify right side
    47,445x = 10,449,030,620.25
  5. Step 5: Solve for x
    x = 10,449,030,620.25/47,445
  6. Step 6: Final answer
    x = 220,234.60

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.