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Finding the Third Proportional to 47,779.50 and 104,019

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Solution

The third proportional to 47,779.50 and 104,019 is: 226,455.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,779.50 : 104,019 = 104,019 : x
  2. Step 2: Convert to fraction form
    47,779.50/104,019 = 104,019/x
  3. Step 3: Cross multiply
    47,779.50x = 104,019 × 104,019
  4. Step 4: Simplify right side
    47,779.50x = 10,819,952,361
  5. Step 5: Solve for x
    x = 10,819,952,361/47,779.50
  6. Step 6: Final answer
    x = 226,455.96

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.