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Finding the Third Proportional to 40,537.97 and 88,343.16

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Solution

The third proportional to 40,537.97 and 88,343.16 is: 192,523.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,537.97 : 88,343.16 = 88,343.16 : x
  2. Step 2: Convert to fraction form
    40,537.97/88,343.16 = 88,343.16/x
  3. Step 3: Cross multiply
    40,537.97x = 88,343.16 × 88,343.16
  4. Step 4: Simplify right side
    40,537.97x = 7,804,513,256.21
  5. Step 5: Solve for x
    x = 7,804,513,256.21/40,537.97
  6. Step 6: Final answer
    x = 192,523.54

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Why These Related Problems?

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