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Finding the Third Proportional to 96,816.50 and 212,265

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Solution

The third proportional to 96,816.50 and 212,265 is: 465,379.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,816.50 : 212,265 = 212,265 : x
  2. Step 2: Convert to fraction form
    96,816.50/212,265 = 212,265/x
  3. Step 3: Cross multiply
    96,816.50x = 212,265 × 212,265
  4. Step 4: Simplify right side
    96,816.50x = 45,056,430,225
  5. Step 5: Solve for x
    x = 45,056,430,225/96,816.50
  6. Step 6: Final answer
    x = 465,379.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.