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Finding the Third Proportional to 88,704 and 193,850

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Solution

The third proportional to 88,704 and 193,850 is: 423,631.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,704 : 193,850 = 193,850 : x
  2. Step 2: Convert to fraction form
    88,704/193,850 = 193,850/x
  3. Step 3: Cross multiply
    88,704x = 193,850 × 193,850
  4. Step 4: Simplify right side
    88,704x = 37,577,822,500
  5. Step 5: Solve for x
    x = 37,577,822,500/88,704
  6. Step 6: Final answer
    x = 423,631.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.