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Finding the Third Proportional to 100,551.38 and 208,062.56

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Solution

The third proportional to 100,551.38 and 208,062.56 is: 430,526.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,551.38 : 208,062.56 = 208,062.56 : x
  2. Step 2: Convert to fraction form
    100,551.38/208,062.56 = 208,062.56/x
  3. Step 3: Cross multiply
    100,551.38x = 208,062.56 × 208,062.56
  4. Step 4: Simplify right side
    100,551.38x = 43,290,029,914.07
  5. Step 5: Solve for x
    x = 43,290,029,914.07/100,551.38
  6. Step 6: Final answer
    x = 430,526.48

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.