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Finding the Third Proportional to 90,495 and 193,011

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Solution

The third proportional to 90,495 and 193,011 is: 411,660.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,495 : 193,011 = 193,011 : x
  2. Step 2: Convert to fraction form
    90,495/193,011 = 193,011/x
  3. Step 3: Cross multiply
    90,495x = 193,011 × 193,011
  4. Step 4: Simplify right side
    90,495x = 37,253,246,121
  5. Step 5: Solve for x
    x = 37,253,246,121/90,495
  6. Step 6: Final answer
    x = 411,660.82

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.