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Finding the Third Proportional to 46,770.19 and 89,234.44

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Solution

The third proportional to 46,770.19 and 89,234.44 is: 170,253.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,770.19 : 89,234.44 = 89,234.44 : x
  2. Step 2: Convert to fraction form
    46,770.19/89,234.44 = 89,234.44/x
  3. Step 3: Cross multiply
    46,770.19x = 89,234.44 × 89,234.44
  4. Step 4: Simplify right side
    46,770.19x = 7,962,784,835.94
  5. Step 5: Solve for x
    x = 7,962,784,835.94/46,770.19
  6. Step 6: Final answer
    x = 170,253.43

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.