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Finding the Third Proportional to 40,207.50 and 88,682.63

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Solution

The third proportional to 40,207.50 and 88,682.63 is: 195,600.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,207.50 : 88,682.63 = 88,682.63 : x
  2. Step 2: Convert to fraction form
    40,207.50/88,682.63 = 88,682.63/x
  3. Step 3: Cross multiply
    40,207.50x = 88,682.63 × 88,682.63
  4. Step 4: Simplify right side
    40,207.50x = 7,864,607,976.89
  5. Step 5: Solve for x
    x = 7,864,607,976.89/40,207.50
  6. Step 6: Final answer
    x = 195,600.52

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.