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Finding the Third Proportional to 89,068.50 and 186,777

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Solution

The third proportional to 89,068.50 and 186,777 is: 391,672.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,068.50 : 186,777 = 186,777 : x
  2. Step 2: Convert to fraction form
    89,068.50/186,777 = 186,777/x
  3. Step 3: Cross multiply
    89,068.50x = 186,777 × 186,777
  4. Step 4: Simplify right side
    89,068.50x = 34,885,647,729
  5. Step 5: Solve for x
    x = 34,885,647,729/89,068.50
  6. Step 6: Final answer
    x = 391,672.11

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.