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Finding the Third Proportional to 92,709 and 202,336

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Solution

The third proportional to 92,709 and 202,336 is: 441,595.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,709 : 202,336 = 202,336 : x
  2. Step 2: Convert to fraction form
    92,709/202,336 = 202,336/x
  3. Step 3: Cross multiply
    92,709x = 202,336 × 202,336
  4. Step 4: Simplify right side
    92,709x = 40,939,856,896
  5. Step 5: Solve for x
    x = 40,939,856,896/92,709
  6. Step 6: Final answer
    x = 441,595.28

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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.