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Finding the Third Proportional to 46,493 and 95,437

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Solution

The third proportional to 46,493 and 95,437 is: 195,905.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,493 : 95,437 = 95,437 : x
  2. Step 2: Convert to fraction form
    46,493/95,437 = 95,437/x
  3. Step 3: Cross multiply
    46,493x = 95,437 × 95,437
  4. Step 4: Simplify right side
    46,493x = 9,108,220,969
  5. Step 5: Solve for x
    x = 9,108,220,969/46,493
  6. Step 6: Final answer
    x = 195,905.21

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.