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Finding the Third Proportional to 83,147.63 and 172,201.13

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Solution

The third proportional to 83,147.63 and 172,201.13 is: 356,633.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,147.63 : 172,201.13 = 172,201.13 : x
  2. Step 2: Convert to fraction form
    83,147.63/172,201.13 = 172,201.13/x
  3. Step 3: Cross multiply
    83,147.63x = 172,201.13 × 172,201.13
  4. Step 4: Simplify right side
    83,147.63x = 29,653,227,451.27
  5. Step 5: Solve for x
    x = 29,653,227,451.27/83,147.63
  6. Step 6: Final answer
    x = 356,633.49

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.