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Finding the Third Proportional to 89,002.13 and 181,308.94

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Solution

The third proportional to 89,002.13 and 181,308.94 is: 369,349.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,002.13 : 181,308.94 = 181,308.94 : x
  2. Step 2: Convert to fraction form
    89,002.13/181,308.94 = 181,308.94/x
  3. Step 3: Cross multiply
    89,002.13x = 181,308.94 × 181,308.94
  4. Step 4: Simplify right side
    89,002.13x = 32,872,930,817.38
  5. Step 5: Solve for x
    x = 32,872,930,817.38/89,002.13
  6. Step 6: Final answer
    x = 369,349.95

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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.