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Finding the Third Proportional to 94,397.67 and 205,229.87

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Solution

The third proportional to 94,397.67 and 205,229.87 is: 446,190.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,397.67 : 205,229.87 = 205,229.87 : x
  2. Step 2: Convert to fraction form
    94,397.67/205,229.87 = 205,229.87/x
  3. Step 3: Cross multiply
    94,397.67x = 205,229.87 × 205,229.87
  4. Step 4: Simplify right side
    94,397.67x = 42,119,301,191.67
  5. Step 5: Solve for x
    x = 42,119,301,191.67/94,397.67
  6. Step 6: Final answer
    x = 446,190.06

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Why These Related Problems?

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