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Finding the Third Proportional to 87,802.88 and 186,539.63

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Solution

The third proportional to 87,802.88 and 186,539.63 is: 396,308.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,802.88 : 186,539.63 = 186,539.63 : x
  2. Step 2: Convert to fraction form
    87,802.88/186,539.63 = 186,539.63/x
  3. Step 3: Cross multiply
    87,802.88x = 186,539.63 × 186,539.63
  4. Step 4: Simplify right side
    87,802.88x = 34,797,031,695.14
  5. Step 5: Solve for x
    x = 34,797,031,695.14/87,802.88
  6. Step 6: Final answer
    x = 396,308.57

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.