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Finding the Third Proportional to 82,776.94 and 178,784.44

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Solution

The third proportional to 82,776.94 and 178,784.44 is: 386,144.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,776.94 : 178,784.44 = 178,784.44 : x
  2. Step 2: Convert to fraction form
    82,776.94/178,784.44 = 178,784.44/x
  3. Step 3: Cross multiply
    82,776.94x = 178,784.44 × 178,784.44
  4. Step 4: Simplify right side
    82,776.94x = 31,963,875,092.19
  5. Step 5: Solve for x
    x = 31,963,875,092.19/82,776.94
  6. Step 6: Final answer
    x = 386,144.69

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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.