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Finding the Third Proportional to 92,656 and 202,040

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Solution

The third proportional to 92,656 and 202,040 is: 440,556.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,656 : 202,040 = 202,040 : x
  2. Step 2: Convert to fraction form
    92,656/202,040 = 202,040/x
  3. Step 3: Cross multiply
    92,656x = 202,040 × 202,040
  4. Step 4: Simplify right side
    92,656x = 40,820,161,600
  5. Step 5: Solve for x
    x = 40,820,161,600/92,656
  6. Step 6: Final answer
    x = 440,556.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.