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Finding the Third Proportional to 63,222.19 and 135,411.47

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Solution

The third proportional to 63,222.19 and 135,411.47 is: 290,028.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,222.19 : 135,411.47 = 135,411.47 : x
  2. Step 2: Convert to fraction form
    63,222.19/135,411.47 = 135,411.47/x
  3. Step 3: Cross multiply
    63,222.19x = 135,411.47 × 135,411.47
  4. Step 4: Simplify right side
    63,222.19x = 18,336,265,869.03
  5. Step 5: Solve for x
    x = 18,336,265,869.03/63,222.19
  6. Step 6: Final answer
    x = 290,028.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.