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Finding the Third Proportional to 40,946.77 and 89,101.27

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Solution

The third proportional to 40,946.77 and 89,101.27 is: 193,886.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,946.77 : 89,101.27 = 89,101.27 : x
  2. Step 2: Convert to fraction form
    40,946.77/89,101.27 = 89,101.27/x
  3. Step 3: Cross multiply
    40,946.77x = 89,101.27 × 89,101.27
  4. Step 4: Simplify right side
    40,946.77x = 7,939,035,535.98
  5. Step 5: Solve for x
    x = 7,939,035,535.98/40,946.77
  6. Step 6: Final answer
    x = 193,886.76

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.