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Finding the Third Proportional to 98,622 and 212,812.88

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Solution

The third proportional to 98,622 and 212,812.88 is: 459,221.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,622 : 212,812.88 = 212,812.88 : x
  2. Step 2: Convert to fraction form
    98,622/212,812.88 = 212,812.88/x
  3. Step 3: Cross multiply
    98,622x = 212,812.88 × 212,812.88
  4. Step 4: Simplify right side
    98,622x = 45,289,319,765.77
  5. Step 5: Solve for x
    x = 45,289,319,765.77/98,622
  6. Step 6: Final answer
    x = 459,221.27

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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.