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Finding the Third Proportional to 92,732 and 199,862

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Solution

The third proportional to 92,732 and 199,862 is: 430,755.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,732 : 199,862 = 199,862 : x
  2. Step 2: Convert to fraction form
    92,732/199,862 = 199,862/x
  3. Step 3: Cross multiply
    92,732x = 199,862 × 199,862
  4. Step 4: Simplify right side
    92,732x = 39,944,819,044
  5. Step 5: Solve for x
    x = 39,944,819,044/92,732
  6. Step 6: Final answer
    x = 430,755.50

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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.