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Finding the Third Proportional to 42,808 and 91,988

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Solution

The third proportional to 42,808 and 91,988 is: 197,668.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,808 : 91,988 = 91,988 : x
  2. Step 2: Convert to fraction form
    42,808/91,988 = 91,988/x
  3. Step 3: Cross multiply
    42,808x = 91,988 × 91,988
  4. Step 4: Simplify right side
    42,808x = 8,461,792,144
  5. Step 5: Solve for x
    x = 8,461,792,144/42,808
  6. Step 6: Final answer
    x = 197,668.48

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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.