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Finding the Third Proportional to 84,666.94 and 183,908.81

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Solution

The third proportional to 84,666.94 and 183,908.81 is: 399,476.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,666.94 : 183,908.81 = 183,908.81 : x
  2. Step 2: Convert to fraction form
    84,666.94/183,908.81 = 183,908.81/x
  3. Step 3: Cross multiply
    84,666.94x = 183,908.81 × 183,908.81
  4. Step 4: Simplify right side
    84,666.94x = 33,822,451,315.16
  5. Step 5: Solve for x
    x = 33,822,451,315.16/84,666.94
  6. Step 6: Final answer
    x = 399,476.49

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.