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Finding the Third Proportional to 67,830.38 and 147,333.75

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Solution

The third proportional to 67,830.38 and 147,333.75 is: 320,022.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,830.38 : 147,333.75 = 147,333.75 : x
  2. Step 2: Convert to fraction form
    67,830.38/147,333.75 = 147,333.75/x
  3. Step 3: Cross multiply
    67,830.38x = 147,333.75 × 147,333.75
  4. Step 4: Simplify right side
    67,830.38x = 21,707,233,889.06
  5. Step 5: Solve for x
    x = 21,707,233,889.06/67,830.38
  6. Step 6: Final answer
    x = 320,022.32

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.