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Finding the Third Proportional to 77,991.19 and 159,678.84

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Solution

The third proportional to 77,991.19 and 159,678.84 is: 326,925.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,991.19 : 159,678.84 = 159,678.84 : x
  2. Step 2: Convert to fraction form
    77,991.19/159,678.84 = 159,678.84/x
  3. Step 3: Cross multiply
    77,991.19x = 159,678.84 × 159,678.84
  4. Step 4: Simplify right side
    77,991.19x = 25,497,333,141.34
  5. Step 5: Solve for x
    x = 25,497,333,141.34/77,991.19
  6. Step 6: Final answer
    x = 326,925.82

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.