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Finding the Third Proportional to 92,716 and 202,928

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Solution

The third proportional to 92,716 and 202,928 is: 444,149.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,716 : 202,928 = 202,928 : x
  2. Step 2: Convert to fraction form
    92,716/202,928 = 202,928/x
  3. Step 3: Cross multiply
    92,716x = 202,928 × 202,928
  4. Step 4: Simplify right side
    92,716x = 41,179,773,184
  5. Step 5: Solve for x
    x = 41,179,773,184/92,716
  6. Step 6: Final answer
    x = 444,149.59

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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.