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Finding the Third Proportional to 47,930.75 and 100,817.75

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Solution

The third proportional to 47,930.75 and 100,817.75 is: 212,060.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,930.75 : 100,817.75 = 100,817.75 : x
  2. Step 2: Convert to fraction form
    47,930.75/100,817.75 = 100,817.75/x
  3. Step 3: Cross multiply
    47,930.75x = 100,817.75 × 100,817.75
  4. Step 4: Simplify right side
    47,930.75x = 10,164,218,715.06
  5. Step 5: Solve for x
    x = 10,164,218,715.06/47,930.75
  6. Step 6: Final answer
    x = 212,060.50

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.