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Finding the Third Proportional to 89,000.86 and 181,306.69

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Solution

The third proportional to 89,000.86 and 181,306.69 is: 369,346.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,000.86 : 181,306.69 = 181,306.69 : x
  2. Step 2: Convert to fraction form
    89,000.86/181,306.69 = 181,306.69/x
  3. Step 3: Cross multiply
    89,000.86x = 181,306.69 × 181,306.69
  4. Step 4: Simplify right side
    89,000.86x = 32,872,114,932.22
  5. Step 5: Solve for x
    x = 32,872,114,932.22/89,000.86
  6. Step 6: Final answer
    x = 369,346.04

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.