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Finding the Third Proportional to 87,798.94 and 189,423.56

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Solution

The third proportional to 87,798.94 and 189,423.56 is: 408,675.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,798.94 : 189,423.56 = 189,423.56 : x
  2. Step 2: Convert to fraction form
    87,798.94/189,423.56 = 189,423.56/x
  3. Step 3: Cross multiply
    87,798.94x = 189,423.56 × 189,423.56
  4. Step 4: Simplify right side
    87,798.94x = 35,881,286,030.19
  5. Step 5: Solve for x
    x = 35,881,286,030.19/87,798.94
  6. Step 6: Final answer
    x = 408,675.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.