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Finding the Third Proportional to 92,242 and 199,014

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Solution

The third proportional to 92,242 and 199,014 is: 429,376.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,242 : 199,014 = 199,014 : x
  2. Step 2: Convert to fraction form
    92,242/199,014 = 199,014/x
  3. Step 3: Cross multiply
    92,242x = 199,014 × 199,014
  4. Step 4: Simplify right side
    92,242x = 39,606,572,196
  5. Step 5: Solve for x
    x = 39,606,572,196/92,242
  6. Step 6: Final answer
    x = 429,376.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.