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Finding the Third Proportional to 96,287.63 and 149,679.75

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Solution

The third proportional to 96,287.63 and 149,679.75 is: 232,678.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,287.63 : 149,679.75 = 149,679.75 : x
  2. Step 2: Convert to fraction form
    96,287.63/149,679.75 = 149,679.75/x
  3. Step 3: Cross multiply
    96,287.63x = 149,679.75 × 149,679.75
  4. Step 4: Simplify right side
    96,287.63x = 22,404,027,560.06
  5. Step 5: Solve for x
    x = 22,404,027,560.06/96,287.63
  6. Step 6: Final answer
    x = 232,678.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.