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Finding the Third Proportional to 89,269.69 and 185,937.38

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Solution

The third proportional to 89,269.69 and 185,937.38 is: 387,283.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,269.69 : 185,937.38 = 185,937.38 : x
  2. Step 2: Convert to fraction form
    89,269.69/185,937.38 = 185,937.38/x
  3. Step 3: Cross multiply
    89,269.69x = 185,937.38 × 185,937.38
  4. Step 4: Simplify right side
    89,269.69x = 34,572,707,421.89
  5. Step 5: Solve for x
    x = 34,572,707,421.89/89,269.69
  6. Step 6: Final answer
    x = 387,283.84

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.