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Finding the Third Proportional to 47,779.03 and 105,741.28

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Solution

The third proportional to 47,779.03 and 105,741.28 is: 234,019.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,779.03 : 105,741.28 = 105,741.28 : x
  2. Step 2: Convert to fraction form
    47,779.03/105,741.28 = 105,741.28/x
  3. Step 3: Cross multiply
    47,779.03x = 105,741.28 × 105,741.28
  4. Step 4: Simplify right side
    47,779.03x = 11,181,218,560.39
  5. Step 5: Solve for x
    x = 11,181,218,560.39/47,779.03
  6. Step 6: Final answer
    x = 234,019.37

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.