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Finding the Third Proportional to 98,221.50 and 214,433

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Solution

The third proportional to 98,221.50 and 214,433 is: 468,141.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,221.50 : 214,433 = 214,433 : x
  2. Step 2: Convert to fraction form
    98,221.50/214,433 = 214,433/x
  3. Step 3: Cross multiply
    98,221.50x = 214,433 × 214,433
  4. Step 4: Simplify right side
    98,221.50x = 45,981,511,489
  5. Step 5: Solve for x
    x = 45,981,511,489/98,221.50
  6. Step 6: Final answer
    x = 468,141.00

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.