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Finding the Third Proportional to 88,352 and 189,888

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Solution

The third proportional to 88,352 and 189,888 is: 408,111.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,352 : 189,888 = 189,888 : x
  2. Step 2: Convert to fraction form
    88,352/189,888 = 189,888/x
  3. Step 3: Cross multiply
    88,352x = 189,888 × 189,888
  4. Step 4: Simplify right side
    88,352x = 36,057,452,544
  5. Step 5: Solve for x
    x = 36,057,452,544/88,352
  6. Step 6: Final answer
    x = 408,111.33

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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.