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Finding the Third Proportional to 45,189 and 98,423

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Solution

The third proportional to 45,189 and 98,423 is: 214,368.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,189 : 98,423 = 98,423 : x
  2. Step 2: Convert to fraction form
    45,189/98,423 = 98,423/x
  3. Step 3: Cross multiply
    45,189x = 98,423 × 98,423
  4. Step 4: Simplify right side
    45,189x = 9,687,086,929
  5. Step 5: Solve for x
    x = 9,687,086,929/45,189
  6. Step 6: Final answer
    x = 214,368.25

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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.