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Finding the Third Proportional to 51,983 and 105,850.13

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Solution

The third proportional to 51,983 and 105,850.13 is: 215,536.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,983 : 105,850.13 = 105,850.13 : x
  2. Step 2: Convert to fraction form
    51,983/105,850.13 = 105,850.13/x
  3. Step 3: Cross multiply
    51,983x = 105,850.13 × 105,850.13
  4. Step 4: Simplify right side
    51,983x = 11,204,248,962.52
  5. Step 5: Solve for x
    x = 11,204,248,962.52/51,983
  6. Step 6: Final answer
    x = 215,536.79

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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.