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Finding the Third Proportional to 47,765.38 and 101,220.13

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Solution

The third proportional to 47,765.38 and 101,220.13 is: 214,496.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,765.38 : 101,220.13 = 101,220.13 : x
  2. Step 2: Convert to fraction form
    47,765.38/101,220.13 = 101,220.13/x
  3. Step 3: Cross multiply
    47,765.38x = 101,220.13 × 101,220.13
  4. Step 4: Simplify right side
    47,765.38x = 10,245,513,705.02
  5. Step 5: Solve for x
    x = 10,245,513,705.02/47,765.38
  6. Step 6: Final answer
    x = 214,496.67

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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.