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Finding the Third Proportional to 47,768.50 and 101,226.50

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Solution

The third proportional to 47,768.50 and 101,226.50 is: 214,509.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,768.50 : 101,226.50 = 101,226.50 : x
  2. Step 2: Convert to fraction form
    47,768.50/101,226.50 = 101,226.50/x
  3. Step 3: Cross multiply
    47,768.50x = 101,226.50 × 101,226.50
  4. Step 4: Simplify right side
    47,768.50x = 10,246,804,302.25
  5. Step 5: Solve for x
    x = 10,246,804,302.25/47,768.50
  6. Step 6: Final answer
    x = 214,509.65

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.