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Finding the Third Proportional to 101,913 and 223,752

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Solution

The third proportional to 101,913 and 223,752 is: 491,251.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,913 : 223,752 = 223,752 : x
  2. Step 2: Convert to fraction form
    101,913/223,752 = 223,752/x
  3. Step 3: Cross multiply
    101,913x = 223,752 × 223,752
  4. Step 4: Simplify right side
    101,913x = 50,064,957,504
  5. Step 5: Solve for x
    x = 50,064,957,504/101,913
  6. Step 6: Final answer
    x = 491,251.93

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.