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Finding the Third Proportional to 86,533.31 and 187,828.88

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Solution

The third proportional to 86,533.31 and 187,828.88 is: 407,700.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,533.31 : 187,828.88 = 187,828.88 : x
  2. Step 2: Convert to fraction form
    86,533.31/187,828.88 = 187,828.88/x
  3. Step 3: Cross multiply
    86,533.31x = 187,828.88 × 187,828.88
  4. Step 4: Simplify right side
    86,533.31x = 35,279,686,283.77
  5. Step 5: Solve for x
    x = 35,279,686,283.77/86,533.31
  6. Step 6: Final answer
    x = 407,700.63

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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.