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Finding the Third Proportional to 49,779.38 and 107,475.38

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Solution

The third proportional to 49,779.38 and 107,475.38 is: 232,043.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,779.38 : 107,475.38 = 107,475.38 : x
  2. Step 2: Convert to fraction form
    49,779.38/107,475.38 = 107,475.38/x
  3. Step 3: Cross multiply
    49,779.38x = 107,475.38 × 107,475.38
  4. Step 4: Simplify right side
    49,779.38x = 11,550,956,231.39
  5. Step 5: Solve for x
    x = 11,550,956,231.39/49,779.38
  6. Step 6: Final answer
    x = 232,043.01

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.