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Finding the Third Proportional to 96,543 and 201,908.63

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Solution

The third proportional to 96,543 and 201,908.63 is: 422,268.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,543 : 201,908.63 = 201,908.63 : x
  2. Step 2: Convert to fraction form
    96,543/201,908.63 = 201,908.63/x
  3. Step 3: Cross multiply
    96,543x = 201,908.63 × 201,908.63
  4. Step 4: Simplify right side
    96,543x = 40,767,092,849.39
  5. Step 5: Solve for x
    x = 40,767,092,849.39/96,543
  6. Step 6: Final answer
    x = 422,268.76

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.