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Finding the Third Proportional to 117,666.84 and 186,991.03

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Solution

The third proportional to 117,666.84 and 186,991.03 is: 297,158.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,666.84 : 186,991.03 = 186,991.03 : x
  2. Step 2: Convert to fraction form
    117,666.84/186,991.03 = 186,991.03/x
  3. Step 3: Cross multiply
    117,666.84x = 186,991.03 × 186,991.03
  4. Step 4: Simplify right side
    117,666.84x = 34,965,645,767.94
  5. Step 5: Solve for x
    x = 34,965,645,767.94/117,666.84
  6. Step 6: Final answer
    x = 297,158.02

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.