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Finding the Third Proportional to 101,849.63 and 219,301.88

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Solution

The third proportional to 101,849.63 and 219,301.88 is: 472,199.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,849.63 : 219,301.88 = 219,301.88 : x
  2. Step 2: Convert to fraction form
    101,849.63/219,301.88 = 219,301.88/x
  3. Step 3: Cross multiply
    101,849.63x = 219,301.88 × 219,301.88
  4. Step 4: Simplify right side
    101,849.63x = 48,093,312,378.52
  5. Step 5: Solve for x
    x = 48,093,312,378.52/101,849.63
  6. Step 6: Final answer
    x = 472,199.21

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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.