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Finding the Third Proportional to 145,099.13 and 193,519.13

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Solution

The third proportional to 145,099.13 and 193,519.13 is: 258,097.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,099.13 : 193,519.13 = 193,519.13 : x
  2. Step 2: Convert to fraction form
    145,099.13/193,519.13 = 193,519.13/x
  3. Step 3: Cross multiply
    145,099.13x = 193,519.13 × 193,519.13
  4. Step 4: Simplify right side
    145,099.13x = 37,449,651,740.77
  5. Step 5: Solve for x
    x = 37,449,651,740.77/145,099.13
  6. Step 6: Final answer
    x = 258,097.02

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.