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Finding the Third Proportional to 47,931.75 and 102,014.44

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Solution

The third proportional to 47,931.75 and 102,014.44 is: 217,120.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,931.75 : 102,014.44 = 102,014.44 : x
  2. Step 2: Convert to fraction form
    47,931.75/102,014.44 = 102,014.44/x
  3. Step 3: Cross multiply
    47,931.75x = 102,014.44 × 102,014.44
  4. Step 4: Simplify right side
    47,931.75x = 10,406,945,458.44
  5. Step 5: Solve for x
    x = 10,406,945,458.44/47,931.75
  6. Step 6: Final answer
    x = 217,120.08

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.