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Finding the Third Proportional to 44,085.75 and 99,780.75

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Solution

The third proportional to 44,085.75 and 99,780.75 is: 225,837.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,085.75 : 99,780.75 = 99,780.75 : x
  2. Step 2: Convert to fraction form
    44,085.75/99,780.75 = 99,780.75/x
  3. Step 3: Cross multiply
    44,085.75x = 99,780.75 × 99,780.75
  4. Step 4: Simplify right side
    44,085.75x = 9,956,198,070.56
  5. Step 5: Solve for x
    x = 9,956,198,070.56/44,085.75
  6. Step 6: Final answer
    x = 225,837.10

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.