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Finding the Third Proportional to 95,990.63 and 208,733.91

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Solution

The third proportional to 95,990.63 and 208,733.91 is: 453,896.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,990.63 : 208,733.91 = 208,733.91 : x
  2. Step 2: Convert to fraction form
    95,990.63/208,733.91 = 208,733.91/x
  3. Step 3: Cross multiply
    95,990.63x = 208,733.91 × 208,733.91
  4. Step 4: Simplify right side
    95,990.63x = 43,569,843,618.38
  5. Step 5: Solve for x
    x = 43,569,843,618.38/95,990.63
  6. Step 6: Final answer
    x = 453,896.86

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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.