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Finding the Third Proportional to 96,781.50 and 227,706.75

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Solution

The third proportional to 96,781.50 and 227,706.75 is: 535,746.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,781.50 : 227,706.75 = 227,706.75 : x
  2. Step 2: Convert to fraction form
    96,781.50/227,706.75 = 227,706.75/x
  3. Step 3: Cross multiply
    96,781.50x = 227,706.75 × 227,706.75
  4. Step 4: Simplify right side
    96,781.50x = 51,850,363,995.56
  5. Step 5: Solve for x
    x = 51,850,363,995.56/96,781.50
  6. Step 6: Final answer
    x = 535,746.65

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