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Finding the Third Proportional to 90,399.38 and 172,594.13

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Solution

The third proportional to 90,399.38 and 172,594.13 is: 329,523.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,399.38 : 172,594.13 = 172,594.13 : x
  2. Step 2: Convert to fraction form
    90,399.38/172,594.13 = 172,594.13/x
  3. Step 3: Cross multiply
    90,399.38x = 172,594.13 × 172,594.13
  4. Step 4: Simplify right side
    90,399.38x = 29,788,731,984.52
  5. Step 5: Solve for x
    x = 29,788,731,984.52/90,399.38
  6. Step 6: Final answer
    x = 329,523.65

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These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.