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Finding the Third Proportional to 63,680.63 and 143,784.56

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Solution

The third proportional to 63,680.63 and 143,784.56 is: 324,651.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,680.63 : 143,784.56 = 143,784.56 : x
  2. Step 2: Convert to fraction form
    63,680.63/143,784.56 = 143,784.56/x
  3. Step 3: Cross multiply
    63,680.63x = 143,784.56 × 143,784.56
  4. Step 4: Simplify right side
    63,680.63x = 20,674,000,413.32
  5. Step 5: Solve for x
    x = 20,674,000,413.32/63,680.63
  6. Step 6: Final answer
    x = 324,651.34

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These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.