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Finding the Third Proportional to 87,708.52 and 189,415.24

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Solution

The third proportional to 87,708.52 and 189,415.24 is: 409,060.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,708.52 : 189,415.24 = 189,415.24 : x
  2. Step 2: Convert to fraction form
    87,708.52/189,415.24 = 189,415.24/x
  3. Step 3: Cross multiply
    87,708.52x = 189,415.24 × 189,415.24
  4. Step 4: Simplify right side
    87,708.52x = 35,878,132,030.71
  5. Step 5: Solve for x
    x = 35,878,132,030.71/87,708.52
  6. Step 6: Final answer
    x = 409,060.95

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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.