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Finding the Third Proportional to 88,913 and 193,804

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Solution

The third proportional to 88,913 and 193,804 is: 422,435.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,913 : 193,804 = 193,804 : x
  2. Step 2: Convert to fraction form
    88,913/193,804 = 193,804/x
  3. Step 3: Cross multiply
    88,913x = 193,804 × 193,804
  4. Step 4: Simplify right side
    88,913x = 37,559,990,416
  5. Step 5: Solve for x
    x = 37,559,990,416/88,913
  6. Step 6: Final answer
    x = 422,435.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.