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Finding the Third Proportional to 88,740 and 193,928

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Solution

The third proportional to 88,740 and 193,928 is: 423,800.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,740 : 193,928 = 193,928 : x
  2. Step 2: Convert to fraction form
    88,740/193,928 = 193,928/x
  3. Step 3: Cross multiply
    88,740x = 193,928 × 193,928
  4. Step 4: Simplify right side
    88,740x = 37,608,069,184
  5. Step 5: Solve for x
    x = 37,608,069,184/88,740
  6. Step 6: Final answer
    x = 423,800.64

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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.