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Finding the Third Proportional to 96,957.84 and 135,615.09

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Solution

The third proportional to 96,957.84 and 135,615.09 is: 189,685.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,957.84 : 135,615.09 = 135,615.09 : x
  2. Step 2: Convert to fraction form
    96,957.84/135,615.09 = 135,615.09/x
  3. Step 3: Cross multiply
    96,957.84x = 135,615.09 × 135,615.09
  4. Step 4: Simplify right side
    96,957.84x = 18,391,453,652.82
  5. Step 5: Solve for x
    x = 18,391,453,652.82/96,957.84
  6. Step 6: Final answer
    x = 189,685.05

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.