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Finding the Third Proportional to 92,388 and 199,024

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Solution

The third proportional to 92,388 and 199,024 is: 428,741.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,388 : 199,024 = 199,024 : x
  2. Step 2: Convert to fraction form
    92,388/199,024 = 199,024/x
  3. Step 3: Cross multiply
    92,388x = 199,024 × 199,024
  4. Step 4: Simplify right side
    92,388x = 39,610,552,576
  5. Step 5: Solve for x
    x = 39,610,552,576/92,388
  6. Step 6: Final answer
    x = 428,741.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.