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Finding the Third Proportional to 90,701.75 and 211,803.75

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Solution

The third proportional to 90,701.75 and 211,803.75 is: 494,597.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,701.75 : 211,803.75 = 211,803.75 : x
  2. Step 2: Convert to fraction form
    90,701.75/211,803.75 = 211,803.75/x
  3. Step 3: Cross multiply
    90,701.75x = 211,803.75 × 211,803.75
  4. Step 4: Simplify right side
    90,701.75x = 44,860,828,514.06
  5. Step 5: Solve for x
    x = 44,860,828,514.06/90,701.75
  6. Step 6: Final answer
    x = 494,597.17

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.