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Finding the Third Proportional to 77,957.44 and 182,181.66

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Solution

The third proportional to 77,957.44 and 182,181.66 is: 425,747.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,957.44 : 182,181.66 = 182,181.66 : x
  2. Step 2: Convert to fraction form
    77,957.44/182,181.66 = 182,181.66/x
  3. Step 3: Cross multiply
    77,957.44x = 182,181.66 × 182,181.66
  4. Step 4: Simplify right side
    77,957.44x = 33,190,155,873.99
  5. Step 5: Solve for x
    x = 33,190,155,873.99/77,957.44
  6. Step 6: Final answer
    x = 425,747.14

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.