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Finding the Third Proportional to 96,939.91 and 205,057.83

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Solution

The third proportional to 96,939.91 and 205,057.83 is: 433,760.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,939.91 : 205,057.83 = 205,057.83 : x
  2. Step 2: Convert to fraction form
    96,939.91/205,057.83 = 205,057.83/x
  3. Step 3: Cross multiply
    96,939.91x = 205,057.83 × 205,057.83
  4. Step 4: Simplify right side
    96,939.91x = 42,048,712,875.34
  5. Step 5: Solve for x
    x = 42,048,712,875.34/96,939.91
  6. Step 6: Final answer
    x = 433,760.58

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.