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Finding the Third Proportional to 95,646 and 223,393.50

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Solution

The third proportional to 95,646 and 223,393.50 is: 521,764.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,646 : 223,393.50 = 223,393.50 : x
  2. Step 2: Convert to fraction form
    95,646/223,393.50 = 223,393.50/x
  3. Step 3: Cross multiply
    95,646x = 223,393.50 × 223,393.50
  4. Step 4: Simplify right side
    95,646x = 49,904,655,842.25
  5. Step 5: Solve for x
    x = 49,904,655,842.25/95,646
  6. Step 6: Final answer
    x = 521,764.17

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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.