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Finding the Third Proportional to 101,702.62 and 221,486.43

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Solution

The third proportional to 101,702.62 and 221,486.43 is: 482,349.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,702.62 : 221,486.43 = 221,486.43 : x
  2. Step 2: Convert to fraction form
    101,702.62/221,486.43 = 221,486.43/x
  3. Step 3: Cross multiply
    101,702.62x = 221,486.43 × 221,486.43
  4. Step 4: Simplify right side
    101,702.62x = 49,056,239,400.90
  5. Step 5: Solve for x
    x = 49,056,239,400.90/101,702.62
  6. Step 6: Final answer
    x = 482,349.81

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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.