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Finding the Third Proportional to 91,077.75 and 186,651

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Solution

The third proportional to 91,077.75 and 186,651 is: 382,514.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,077.75 : 186,651 = 186,651 : x
  2. Step 2: Convert to fraction form
    91,077.75/186,651 = 186,651/x
  3. Step 3: Cross multiply
    91,077.75x = 186,651 × 186,651
  4. Step 4: Simplify right side
    91,077.75x = 34,838,595,801
  5. Step 5: Solve for x
    x = 34,838,595,801/91,077.75
  6. Step 6: Final answer
    x = 382,514.89

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