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Finding the Third Proportional to 78,231.94 and 168,935.63

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Solution

The third proportional to 78,231.94 and 168,935.63 is: 364,803.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,231.94 : 168,935.63 = 168,935.63 : x
  2. Step 2: Convert to fraction form
    78,231.94/168,935.63 = 168,935.63/x
  3. Step 3: Cross multiply
    78,231.94x = 168,935.63 × 168,935.63
  4. Step 4: Simplify right side
    78,231.94x = 28,539,245,394.14
  5. Step 5: Solve for x
    x = 28,539,245,394.14/78,231.94
  6. Step 6: Final answer
    x = 364,803.00

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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.