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Finding the Third Proportional to 96,000.19 and 145,329.19

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Solution

The third proportional to 96,000.19 and 145,329.19 is: 220,005.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,000.19 : 145,329.19 = 145,329.19 : x
  2. Step 2: Convert to fraction form
    96,000.19/145,329.19 = 145,329.19/x
  3. Step 3: Cross multiply
    96,000.19x = 145,329.19 × 145,329.19
  4. Step 4: Simplify right side
    96,000.19x = 21,120,572,739.41
  5. Step 5: Solve for x
    x = 21,120,572,739.41/96,000.19
  6. Step 6: Final answer
    x = 220,005.54

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.