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Finding the Third Proportional to 206,461.13 and 319,101.19

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Solution

The third proportional to 206,461.13 and 319,101.19 is: 493,194.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,461.13 : 319,101.19 = 319,101.19 : x
  2. Step 2: Convert to fraction form
    206,461.13/319,101.19 = 319,101.19/x
  3. Step 3: Cross multiply
    206,461.13x = 319,101.19 × 319,101.19
  4. Step 4: Simplify right side
    206,461.13x = 101,825,567,863.91
  5. Step 5: Solve for x
    x = 101,825,567,863.91/206,461.13
  6. Step 6: Final answer
    x = 493,194.87

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.