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Finding the Third Proportional to 145,193.13 and 311,405.13

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Solution

The third proportional to 145,193.13 and 311,405.13 is: 667,890.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,193.13 : 311,405.13 = 311,405.13 : x
  2. Step 2: Convert to fraction form
    145,193.13/311,405.13 = 311,405.13/x
  3. Step 3: Cross multiply
    145,193.13x = 311,405.13 × 311,405.13
  4. Step 4: Simplify right side
    145,193.13x = 96,973,156,741.97
  5. Step 5: Solve for x
    x = 96,973,156,741.97/145,193.13
  6. Step 6: Final answer
    x = 667,890.79

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.