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Finding the Third Proportional to 87,585.63 and 189,698.38

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Solution

The third proportional to 87,585.63 and 189,698.38 is: 410,860.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,585.63 : 189,698.38 = 189,698.38 : x
  2. Step 2: Convert to fraction form
    87,585.63/189,698.38 = 189,698.38/x
  3. Step 3: Cross multiply
    87,585.63x = 189,698.38 × 189,698.38
  4. Step 4: Simplify right side
    87,585.63x = 35,985,473,477.64
  5. Step 5: Solve for x
    x = 35,985,473,477.64/87,585.63
  6. Step 6: Final answer
    x = 410,860.50

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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.