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Finding the Third Proportional to 88,409 and 190,937

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Solution

The third proportional to 88,409 and 190,937 is: 412,366.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,409 : 190,937 = 190,937 : x
  2. Step 2: Convert to fraction form
    88,409/190,937 = 190,937/x
  3. Step 3: Cross multiply
    88,409x = 190,937 × 190,937
  4. Step 4: Simplify right side
    88,409x = 36,456,937,969
  5. Step 5: Solve for x
    x = 36,456,937,969/88,409
  6. Step 6: Final answer
    x = 412,366.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.