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Finding the Third Proportional to 41,666.19 and 89,995.90

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Solution

The third proportional to 41,666.19 and 89,995.90 is: 194,384.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,666.19 : 89,995.90 = 89,995.90 : x
  2. Step 2: Convert to fraction form
    41,666.19/89,995.90 = 89,995.90/x
  3. Step 3: Cross multiply
    41,666.19x = 89,995.90 × 89,995.90
  4. Step 4: Simplify right side
    41,666.19x = 8,099,262,790.21
  5. Step 5: Solve for x
    x = 8,099,262,790.21/41,666.19
  6. Step 6: Final answer
    x = 194,384.51

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.