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Finding the Third Proportional to 86,533.69 and 187,829.63

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Solution

The third proportional to 86,533.69 and 187,829.63 is: 407,702.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,533.69 : 187,829.63 = 187,829.63 : x
  2. Step 2: Convert to fraction form
    86,533.69/187,829.63 = 187,829.63/x
  3. Step 3: Cross multiply
    86,533.69x = 187,829.63 × 187,829.63
  4. Step 4: Simplify right side
    86,533.69x = 35,279,968,027.64
  5. Step 5: Solve for x
    x = 35,279,968,027.64/86,533.69
  6. Step 6: Final answer
    x = 407,702.12

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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.