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Finding the Third Proportional to 90,423.84 and 204,530.06

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Solution

The third proportional to 90,423.84 and 204,530.06 is: 462,627.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,423.84 : 204,530.06 = 204,530.06 : x
  2. Step 2: Convert to fraction form
    90,423.84/204,530.06 = 204,530.06/x
  3. Step 3: Cross multiply
    90,423.84x = 204,530.06 × 204,530.06
  4. Step 4: Simplify right side
    90,423.84x = 41,832,546,466.25
  5. Step 5: Solve for x
    x = 41,832,546,466.25/90,423.84
  6. Step 6: Final answer
    x = 462,627.39

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.