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Finding the Third Proportional to 82,902.66 and 179,041.64

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Solution

The third proportional to 82,902.66 and 179,041.64 is: 386,669.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,902.66 : 179,041.64 = 179,041.64 : x
  2. Step 2: Convert to fraction form
    82,902.66/179,041.64 = 179,041.64/x
  3. Step 3: Cross multiply
    82,902.66x = 179,041.64 × 179,041.64
  4. Step 4: Simplify right side
    82,902.66x = 32,055,909,077.69
  5. Step 5: Solve for x
    x = 32,055,909,077.69/82,902.66
  6. Step 6: Final answer
    x = 386,669.26

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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.