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Finding the Third Proportional to 96,756.75 and 227,659.50

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Solution

The third proportional to 96,756.75 and 227,659.50 is: 535,661.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,756.75 : 227,659.50 = 227,659.50 : x
  2. Step 2: Convert to fraction form
    96,756.75/227,659.50 = 227,659.50/x
  3. Step 3: Cross multiply
    96,756.75x = 227,659.50 × 227,659.50
  4. Step 4: Simplify right side
    96,756.75x = 51,828,847,940.25
  5. Step 5: Solve for x
    x = 51,828,847,940.25/96,756.75
  6. Step 6: Final answer
    x = 535,661.32

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.