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Finding the Third Proportional to 91,557.84 and 196,921.13

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Solution

The third proportional to 91,557.84 and 196,921.13 is: 423,534.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,557.84 : 196,921.13 = 196,921.13 : x
  2. Step 2: Convert to fraction form
    91,557.84/196,921.13 = 196,921.13/x
  3. Step 3: Cross multiply
    91,557.84x = 196,921.13 × 196,921.13
  4. Step 4: Simplify right side
    91,557.84x = 38,777,929,471.27
  5. Step 5: Solve for x
    x = 38,777,929,471.27/91,557.84
  6. Step 6: Final answer
    x = 423,534.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.