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Finding the Third Proportional to 103,641.61 and 219,738.23

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Solution

The third proportional to 103,641.61 and 219,738.23 is: 465,883.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,641.61 : 219,738.23 = 219,738.23 : x
  2. Step 2: Convert to fraction form
    103,641.61/219,738.23 = 219,738.23/x
  3. Step 3: Cross multiply
    103,641.61x = 219,738.23 × 219,738.23
  4. Step 4: Simplify right side
    103,641.61x = 48,284,891,646.24
  5. Step 5: Solve for x
    x = 48,284,891,646.24/103,641.61
  6. Step 6: Final answer
    x = 465,883.27

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.