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Finding the Third Proportional to 99,222.31 and 214,360.17

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Solution

The third proportional to 99,222.31 and 214,360.17 is: 463,104.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,222.31 : 214,360.17 = 214,360.17 : x
  2. Step 2: Convert to fraction form
    99,222.31/214,360.17 = 214,360.17/x
  3. Step 3: Cross multiply
    99,222.31x = 214,360.17 × 214,360.17
  4. Step 4: Simplify right side
    99,222.31x = 45,950,283,286.28
  5. Step 5: Solve for x
    x = 45,950,283,286.28/99,222.31
  6. Step 6: Final answer
    x = 463,104.35

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Why These Related Problems?

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