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Finding the Third Proportional to 96,780.50 and 227,730.50

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Solution

The third proportional to 96,780.50 and 227,730.50 is: 535,863.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,780.50 : 227,730.50 = 227,730.50 : x
  2. Step 2: Convert to fraction form
    96,780.50/227,730.50 = 227,730.50/x
  3. Step 3: Cross multiply
    96,780.50x = 227,730.50 × 227,730.50
  4. Step 4: Simplify right side
    96,780.50x = 51,861,180,630.25
  5. Step 5: Solve for x
    x = 51,861,180,630.25/96,780.50
  6. Step 6: Final answer
    x = 535,863.95

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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.