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Finding the Third Proportional to 41,882.63 and 90,326.25

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Solution

The third proportional to 41,882.63 and 90,326.25 is: 194,802.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,882.63 : 90,326.25 = 90,326.25 : x
  2. Step 2: Convert to fraction form
    41,882.63/90,326.25 = 90,326.25/x
  3. Step 3: Cross multiply
    41,882.63x = 90,326.25 × 90,326.25
  4. Step 4: Simplify right side
    41,882.63x = 8,158,831,439.06
  5. Step 5: Solve for x
    x = 8,158,831,439.06/41,882.63
  6. Step 6: Final answer
    x = 194,802.29

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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.