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Finding the Third Proportional to 46,507.92 and 100,892.46

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Solution

The third proportional to 46,507.92 and 100,892.46 is: 218,872.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,507.92 : 100,892.46 = 100,892.46 : x
  2. Step 2: Convert to fraction form
    46,507.92/100,892.46 = 100,892.46/x
  3. Step 3: Cross multiply
    46,507.92x = 100,892.46 × 100,892.46
  4. Step 4: Simplify right side
    46,507.92x = 10,179,288,674.03
  5. Step 5: Solve for x
    x = 10,179,288,674.03/46,507.92
  6. Step 6: Final answer
    x = 218,872.15

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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.