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Finding the Third Proportional to 98,502.75 and 192,083.06

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Solution

The third proportional to 98,502.75 and 192,083.06 is: 374,567.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,502.75 : 192,083.06 = 192,083.06 : x
  2. Step 2: Convert to fraction form
    98,502.75/192,083.06 = 192,083.06/x
  3. Step 3: Cross multiply
    98,502.75x = 192,083.06 × 192,083.06
  4. Step 4: Simplify right side
    98,502.75x = 36,895,902,899.38
  5. Step 5: Solve for x
    x = 36,895,902,899.38/98,502.75
  6. Step 6: Final answer
    x = 374,567.24

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.