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Finding the Third Proportional to 89,403.75 and 191,251.13

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Solution

The third proportional to 89,403.75 and 191,251.13 is: 409,121.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,403.75 : 191,251.13 = 191,251.13 : x
  2. Step 2: Convert to fraction form
    89,403.75/191,251.13 = 191,251.13/x
  3. Step 3: Cross multiply
    89,403.75x = 191,251.13 × 191,251.13
  4. Step 4: Simplify right side
    89,403.75x = 36,576,992,813.77
  5. Step 5: Solve for x
    x = 36,576,992,813.77/89,403.75
  6. Step 6: Final answer
    x = 409,121.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.