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Finding the Third Proportional to 108,113.63 and 232,211.81

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Solution

The third proportional to 108,113.63 and 232,211.81 is: 498,756.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,113.63 : 232,211.81 = 232,211.81 : x
  2. Step 2: Convert to fraction form
    108,113.63/232,211.81 = 232,211.81/x
  3. Step 3: Cross multiply
    108,113.63x = 232,211.81 × 232,211.81
  4. Step 4: Simplify right side
    108,113.63x = 53,922,325,864.54
  5. Step 5: Solve for x
    x = 53,922,325,864.54/108,113.63
  6. Step 6: Final answer
    x = 498,756.06

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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.