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Finding the Third Proportional to 103,685.06 and 219,520.13

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Solution

The third proportional to 103,685.06 and 219,520.13 is: 464,764.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,685.06 : 219,520.13 = 219,520.13 : x
  2. Step 2: Convert to fraction form
    103,685.06/219,520.13 = 219,520.13/x
  3. Step 3: Cross multiply
    103,685.06x = 219,520.13 × 219,520.13
  4. Step 4: Simplify right side
    103,685.06x = 48,189,085,280.02
  5. Step 5: Solve for x
    x = 48,189,085,280.02/103,685.06
  6. Step 6: Final answer
    x = 464,764.01

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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.