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Finding the Third Proportional to 92,243 and 199,021

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Solution

The third proportional to 92,243 and 199,021 is: 429,402.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,243 : 199,021 = 199,021 : x
  2. Step 2: Convert to fraction form
    92,243/199,021 = 199,021/x
  3. Step 3: Cross multiply
    92,243x = 199,021 × 199,021
  4. Step 4: Simplify right side
    92,243x = 39,609,358,441
  5. Step 5: Solve for x
    x = 39,609,358,441/92,243
  6. Step 6: Final answer
    x = 429,402.32

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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.