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Finding the Third Proportional to 47,271.09 and 101,709.84

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Solution

The third proportional to 47,271.09 and 101,709.84 is: 218,841.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,271.09 : 101,709.84 = 101,709.84 : x
  2. Step 2: Convert to fraction form
    47,271.09/101,709.84 = 101,709.84/x
  3. Step 3: Cross multiply
    47,271.09x = 101,709.84 × 101,709.84
  4. Step 4: Simplify right side
    47,271.09x = 10,344,892,315.65
  5. Step 5: Solve for x
    x = 10,344,892,315.65/47,271.09
  6. Step 6: Final answer
    x = 218,841.82

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.