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Finding the Third Proportional to 100,750.50 and 211,173.75

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Solution

The third proportional to 100,750.50 and 211,173.75 is: 442,621.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,750.50 : 211,173.75 = 211,173.75 : x
  2. Step 2: Convert to fraction form
    100,750.50/211,173.75 = 211,173.75/x
  3. Step 3: Cross multiply
    100,750.50x = 211,173.75 × 211,173.75
  4. Step 4: Simplify right side
    100,750.50x = 44,594,352,689.06
  5. Step 5: Solve for x
    x = 44,594,352,689.06/100,750.50
  6. Step 6: Final answer
    x = 442,621.65

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.