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Finding the Third Proportional to 41,877 and 98,779.50

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Solution

The third proportional to 41,877 and 98,779.50 is: 233,001.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,877 : 98,779.50 = 98,779.50 : x
  2. Step 2: Convert to fraction form
    41,877/98,779.50 = 98,779.50/x
  3. Step 3: Cross multiply
    41,877x = 98,779.50 × 98,779.50
  4. Step 4: Simplify right side
    41,877x = 9,757,389,620.25
  5. Step 5: Solve for x
    x = 9,757,389,620.25/41,877
  6. Step 6: Final answer
    x = 233,001.16

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.