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Finding the Third Proportional to 101,806.88 and 219,223.13

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Solution

The third proportional to 101,806.88 and 219,223.13 is: 472,058.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,806.88 : 219,223.13 = 219,223.13 : x
  2. Step 2: Convert to fraction form
    101,806.88/219,223.13 = 219,223.13/x
  3. Step 3: Cross multiply
    101,806.88x = 219,223.13 × 219,223.13
  4. Step 4: Simplify right side
    101,806.88x = 48,058,778,534.77
  5. Step 5: Solve for x
    x = 48,058,778,534.77/101,806.88
  6. Step 6: Final answer
    x = 472,058.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.