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Finding the Third Proportional to 95,693 and 223,511

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Solution

The third proportional to 95,693 and 223,511 is: 522,056.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,693 : 223,511 = 223,511 : x
  2. Step 2: Convert to fraction form
    95,693/223,511 = 223,511/x
  3. Step 3: Cross multiply
    95,693x = 223,511 × 223,511
  4. Step 4: Simplify right side
    95,693x = 49,957,167,121
  5. Step 5: Solve for x
    x = 49,957,167,121/95,693
  6. Step 6: Final answer
    x = 522,056.65

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.