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Finding the Third Proportional to 77,777.72 and 169,634.25

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Solution

The third proportional to 77,777.72 and 169,634.25 is: 369,974.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,777.72 : 169,634.25 = 169,634.25 : x
  2. Step 2: Convert to fraction form
    77,777.72/169,634.25 = 169,634.25/x
  3. Step 3: Cross multiply
    77,777.72x = 169,634.25 × 169,634.25
  4. Step 4: Simplify right side
    77,777.72x = 28,775,778,773.06
  5. Step 5: Solve for x
    x = 28,775,778,773.06/77,777.72
  6. Step 6: Final answer
    x = 369,974.58

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.