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Finding the Third Proportional to 41,266.83 and 90,421.03

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Solution

The third proportional to 41,266.83 and 90,421.03 is: 198,124.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,266.83 : 90,421.03 = 90,421.03 : x
  2. Step 2: Convert to fraction form
    41,266.83/90,421.03 = 90,421.03/x
  3. Step 3: Cross multiply
    41,266.83x = 90,421.03 × 90,421.03
  4. Step 4: Simplify right side
    41,266.83x = 8,175,962,892.31
  5. Step 5: Solve for x
    x = 8,175,962,892.31/41,266.83
  6. Step 6: Final answer
    x = 198,124.34

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.