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Finding the Third Proportional to 41,985.84 and 90,735.19

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Solution

The third proportional to 41,985.84 and 90,735.19 is: 196,086.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,985.84 : 90,735.19 = 90,735.19 : x
  2. Step 2: Convert to fraction form
    41,985.84/90,735.19 = 90,735.19/x
  3. Step 3: Cross multiply
    41,985.84x = 90,735.19 × 90,735.19
  4. Step 4: Simplify right side
    41,985.84x = 8,232,874,250.66
  5. Step 5: Solve for x
    x = 8,232,874,250.66/41,985.84
  6. Step 6: Final answer
    x = 196,086.91

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Why These Related Problems?

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