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Finding the Third Proportional to 45,414 and 98,091

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Solution

The third proportional to 45,414 and 98,091 is: 211,869.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,414 : 98,091 = 98,091 : x
  2. Step 2: Convert to fraction form
    45,414/98,091 = 98,091/x
  3. Step 3: Cross multiply
    45,414x = 98,091 × 98,091
  4. Step 4: Simplify right side
    45,414x = 9,621,844,281
  5. Step 5: Solve for x
    x = 9,621,844,281/45,414
  6. Step 6: Final answer
    x = 211,869.56

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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.