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Finding the Third Proportional to 86,952.19 and 188,775.56

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Solution

The third proportional to 86,952.19 and 188,775.56 is: 409,836.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,952.19 : 188,775.56 = 188,775.56 : x
  2. Step 2: Convert to fraction form
    86,952.19/188,775.56 = 188,775.56/x
  3. Step 3: Cross multiply
    86,952.19x = 188,775.56 × 188,775.56
  4. Step 4: Simplify right side
    86,952.19x = 35,636,212,997.19
  5. Step 5: Solve for x
    x = 35,636,212,997.19/86,952.19
  6. Step 6: Final answer
    x = 409,836.88

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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.