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Finding the Third Proportional to 47,336.59 and 101,823.64

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Solution

The third proportional to 47,336.59 and 101,823.64 is: 219,028.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,336.59 : 101,823.64 = 101,823.64 : x
  2. Step 2: Convert to fraction form
    47,336.59/101,823.64 = 101,823.64/x
  3. Step 3: Cross multiply
    47,336.59x = 101,823.64 × 101,823.64
  4. Step 4: Simplify right side
    47,336.59x = 10,368,054,585.63
  5. Step 5: Solve for x
    x = 10,368,054,585.63/47,336.59
  6. Step 6: Final answer
    x = 219,028.34

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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.