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Finding the Third Proportional to 89,097.69 and 184,510.88

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Solution

The third proportional to 89,097.69 and 184,510.88 is: 382,100.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,097.69 : 184,510.88 = 184,510.88 : x
  2. Step 2: Convert to fraction form
    89,097.69/184,510.88 = 184,510.88/x
  3. Step 3: Cross multiply
    89,097.69x = 184,510.88 × 184,510.88
  4. Step 4: Simplify right side
    89,097.69x = 34,044,262,993.27
  5. Step 5: Solve for x
    x = 34,044,262,993.27/89,097.69
  6. Step 6: Final answer
    x = 382,100.41

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.