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Finding the Third Proportional to 47,527.88 and 102,074.63

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Solution

The third proportional to 47,527.88 and 102,074.63 is: 219,223.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,527.88 : 102,074.63 = 102,074.63 : x
  2. Step 2: Convert to fraction form
    47,527.88/102,074.63 = 102,074.63/x
  3. Step 3: Cross multiply
    47,527.88x = 102,074.63 × 102,074.63
  4. Step 4: Simplify right side
    47,527.88x = 10,419,229,068.89
  5. Step 5: Solve for x
    x = 10,419,229,068.89/47,527.88
  6. Step 6: Final answer
    x = 219,223.54

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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.