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Finding the Third Proportional to 96,862.50 and 145,391.63

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Solution

The third proportional to 96,862.50 and 145,391.63 is: 218,234.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,862.50 : 145,391.63 = 145,391.63 : x
  2. Step 2: Convert to fraction form
    96,862.50/145,391.63 = 145,391.63/x
  3. Step 3: Cross multiply
    96,862.50x = 145,391.63 × 145,391.63
  4. Step 4: Simplify right side
    96,862.50x = 21,138,724,620.14
  5. Step 5: Solve for x
    x = 21,138,724,620.14/96,862.50
  6. Step 6: Final answer
    x = 218,234.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.