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Finding the Third Proportional to 96,779.25 and 227,701.13

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Solution

The third proportional to 96,779.25 and 227,701.13 is: 535,732.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,779.25 : 227,701.13 = 227,701.13 : x
  2. Step 2: Convert to fraction form
    96,779.25/227,701.13 = 227,701.13/x
  3. Step 3: Cross multiply
    96,779.25x = 227,701.13 × 227,701.13
  4. Step 4: Simplify right side
    96,779.25x = 51,847,802,326.27
  5. Step 5: Solve for x
    x = 51,847,802,326.27/96,779.25
  6. Step 6: Final answer
    x = 535,732.63

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.