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Finding the Third Proportional to 96,847.50 and 209,779.50

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Solution

The third proportional to 96,847.50 and 209,779.50 is: 454,399.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,847.50 : 209,779.50 = 209,779.50 : x
  2. Step 2: Convert to fraction form
    96,847.50/209,779.50 = 209,779.50/x
  3. Step 3: Cross multiply
    96,847.50x = 209,779.50 × 209,779.50
  4. Step 4: Simplify right side
    96,847.50x = 44,007,438,620.25
  5. Step 5: Solve for x
    x = 44,007,438,620.25/96,847.50
  6. Step 6: Final answer
    x = 454,399.32

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.