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Finding the Third Proportional to 96,702.19 and 145,234.69

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Solution

The third proportional to 96,702.19 and 145,234.69 is: 218,124.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,702.19 : 145,234.69 = 145,234.69 : x
  2. Step 2: Convert to fraction form
    96,702.19/145,234.69 = 145,234.69/x
  3. Step 3: Cross multiply
    96,702.19x = 145,234.69 × 145,234.69
  4. Step 4: Simplify right side
    96,702.19x = 21,093,114,453.22
  5. Step 5: Solve for x
    x = 21,093,114,453.22/96,702.19
  6. Step 6: Final answer
    x = 218,124.48

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