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Finding the Third Proportional to 51,598.13 and 105,382.88

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Solution

The third proportional to 51,598.13 and 105,382.88 is: 215,231.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,598.13 : 105,382.88 = 105,382.88 : x
  2. Step 2: Convert to fraction form
    51,598.13/105,382.88 = 105,382.88/x
  3. Step 3: Cross multiply
    51,598.13x = 105,382.88 × 105,382.88
  4. Step 4: Simplify right side
    51,598.13x = 11,105,550,343.27
  5. Step 5: Solve for x
    x = 11,105,550,343.27/51,598.13
  6. Step 6: Final answer
    x = 215,231.66

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.