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Finding the Third Proportional to 47,761.07 and 101,206.95

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Solution

The third proportional to 47,761.07 and 101,206.95 is: 214,460.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,761.07 : 101,206.95 = 101,206.95 : x
  2. Step 2: Convert to fraction form
    47,761.07/101,206.95 = 101,206.95/x
  3. Step 3: Cross multiply
    47,761.07x = 101,206.95 × 101,206.95
  4. Step 4: Simplify right side
    47,761.07x = 10,242,846,520.75
  5. Step 5: Solve for x
    x = 10,242,846,520.75/47,761.07
  6. Step 6: Final answer
    x = 214,460.16

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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.