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Finding the Third Proportional to 101,913 and 154,408.50

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Solution

The third proportional to 101,913 and 154,408.50 is: 233,944.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,913 : 154,408.50 = 154,408.50 : x
  2. Step 2: Convert to fraction form
    101,913/154,408.50 = 154,408.50/x
  3. Step 3: Cross multiply
    101,913x = 154,408.50 × 154,408.50
  4. Step 4: Simplify right side
    101,913x = 23,841,984,872.25
  5. Step 5: Solve for x
    x = 23,841,984,872.25/101,913
  6. Step 6: Final answer
    x = 233,944.49

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.