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Finding the Third Proportional to 92,749 and 199,897

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Solution

The third proportional to 92,749 and 199,897 is: 430,827.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,749 : 199,897 = 199,897 : x
  2. Step 2: Convert to fraction form
    92,749/199,897 = 199,897/x
  3. Step 3: Cross multiply
    92,749x = 199,897 × 199,897
  4. Step 4: Simplify right side
    92,749x = 39,958,810,609
  5. Step 5: Solve for x
    x = 39,958,810,609/92,749
  6. Step 6: Final answer
    x = 430,827.40

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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.