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Finding the Third Proportional to 98,943.75 and 211,920.75

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Solution

The third proportional to 98,943.75 and 211,920.75 is: 453,898.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,943.75 : 211,920.75 = 211,920.75 : x
  2. Step 2: Convert to fraction form
    98,943.75/211,920.75 = 211,920.75/x
  3. Step 3: Cross multiply
    98,943.75x = 211,920.75 × 211,920.75
  4. Step 4: Simplify right side
    98,943.75x = 44,910,404,280.56
  5. Step 5: Solve for x
    x = 44,910,404,280.56/98,943.75
  6. Step 6: Final answer
    x = 453,898.34

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.