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Finding the Third Proportional to 213,961.13 and 299,116.13

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Solution

The third proportional to 213,961.13 and 299,116.13 is: 418,162.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,961.13 : 299,116.13 = 299,116.13 : x
  2. Step 2: Convert to fraction form
    213,961.13/299,116.13 = 299,116.13/x
  3. Step 3: Cross multiply
    213,961.13x = 299,116.13 × 299,116.13
  4. Step 4: Simplify right side
    213,961.13x = 89,470,456,235.02
  5. Step 5: Solve for x
    x = 89,470,456,235.02/213,961.13
  6. Step 6: Final answer
    x = 418,162.21

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.