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Finding the Third Proportional to 47,818.50 and 101,329.50

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Solution

The third proportional to 47,818.50 and 101,329.50 is: 214,721.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,818.50 : 101,329.50 = 101,329.50 : x
  2. Step 2: Convert to fraction form
    47,818.50/101,329.50 = 101,329.50/x
  3. Step 3: Cross multiply
    47,818.50x = 101,329.50 × 101,329.50
  4. Step 4: Simplify right side
    47,818.50x = 10,267,667,570.25
  5. Step 5: Solve for x
    x = 10,267,667,570.25/47,818.50
  6. Step 6: Final answer
    x = 214,721.66

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.