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Finding the Third Proportional to 40,783.60 and 89,611.47

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Solution

The third proportional to 40,783.60 and 89,611.47 is: 196,898.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,783.60 : 89,611.47 = 89,611.47 : x
  2. Step 2: Convert to fraction form
    40,783.60/89,611.47 = 89,611.47/x
  3. Step 3: Cross multiply
    40,783.60x = 89,611.47 × 89,611.47
  4. Step 4: Simplify right side
    40,783.60x = 8,030,215,681.58
  5. Step 5: Solve for x
    x = 8,030,215,681.58/40,783.60
  6. Step 6: Final answer
    x = 196,898.16

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.