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Finding the Third Proportional to 49,779.56 and 107,483.06

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Solution

The third proportional to 49,779.56 and 107,483.06 is: 232,075.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,779.56 : 107,483.06 = 107,483.06 : x
  2. Step 2: Convert to fraction form
    49,779.56/107,483.06 = 107,483.06/x
  3. Step 3: Cross multiply
    49,779.56x = 107,483.06 × 107,483.06
  4. Step 4: Simplify right side
    49,779.56x = 11,552,608,724.38
  5. Step 5: Solve for x
    x = 11,552,608,724.38/49,779.56
  6. Step 6: Final answer
    x = 232,075.34

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