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Finding the Third Proportional to 96,455.81 and 150,857.44

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Solution

The third proportional to 96,455.81 and 150,857.44 is: 235,941.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,455.81 : 150,857.44 = 150,857.44 : x
  2. Step 2: Convert to fraction form
    96,455.81/150,857.44 = 150,857.44/x
  3. Step 3: Cross multiply
    96,455.81x = 150,857.44 × 150,857.44
  4. Step 4: Simplify right side
    96,455.81x = 22,757,966,449.07
  5. Step 5: Solve for x
    x = 22,757,966,449.07/96,455.81
  6. Step 6: Final answer
    x = 235,941.89

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.