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Finding the Third Proportional to 92,703 and 202,830

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Solution

The third proportional to 92,703 and 202,830 is: 443,782.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,703 : 202,830 = 202,830 : x
  2. Step 2: Convert to fraction form
    92,703/202,830 = 202,830/x
  3. Step 3: Cross multiply
    92,703x = 202,830 × 202,830
  4. Step 4: Simplify right side
    92,703x = 41,140,008,900
  5. Step 5: Solve for x
    x = 41,140,008,900/92,703
  6. Step 6: Final answer
    x = 443,782.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.