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Finding the Third Proportional to 47,628.56 and 101,823.19

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Solution

The third proportional to 47,628.56 and 101,823.19 is: 217,683.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,628.56 : 101,823.19 = 101,823.19 : x
  2. Step 2: Convert to fraction form
    47,628.56/101,823.19 = 101,823.19/x
  3. Step 3: Cross multiply
    47,628.56x = 101,823.19 × 101,823.19
  4. Step 4: Simplify right side
    47,628.56x = 10,367,961,512.66
  5. Step 5: Solve for x
    x = 10,367,961,512.66/47,628.56
  6. Step 6: Final answer
    x = 217,683.70

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.