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Finding the Third Proportional to 95,913 and 205,029

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Solution

The third proportional to 95,913 and 205,029 is: 438,281.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,913 : 205,029 = 205,029 : x
  2. Step 2: Convert to fraction form
    95,913/205,029 = 205,029/x
  3. Step 3: Cross multiply
    95,913x = 205,029 × 205,029
  4. Step 4: Simplify right side
    95,913x = 42,036,890,841
  5. Step 5: Solve for x
    x = 42,036,890,841/95,913
  6. Step 6: Final answer
    x = 438,281.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.