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Finding the Third Proportional to 89,986.50 and 194,877

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Solution

The third proportional to 89,986.50 and 194,877 is: 422,030.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,986.50 : 194,877 = 194,877 : x
  2. Step 2: Convert to fraction form
    89,986.50/194,877 = 194,877/x
  3. Step 3: Cross multiply
    89,986.50x = 194,877 × 194,877
  4. Step 4: Simplify right side
    89,986.50x = 37,977,045,129
  5. Step 5: Solve for x
    x = 37,977,045,129/89,986.50
  6. Step 6: Final answer
    x = 422,030.47

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Why These Related Problems?

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