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Finding the Third Proportional to 98,251.88 and 212,191.88

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Solution

The third proportional to 98,251.88 and 212,191.88 is: 458,264.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,251.88 : 212,191.88 = 212,191.88 : x
  2. Step 2: Convert to fraction form
    98,251.88/212,191.88 = 212,191.88/x
  3. Step 3: Cross multiply
    98,251.88x = 212,191.88 × 212,191.88
  4. Step 4: Simplify right side
    98,251.88x = 45,025,391,816.02
  5. Step 5: Solve for x
    x = 45,025,391,816.02/98,251.88
  6. Step 6: Final answer
    x = 458,264.96

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.