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Finding the Third Proportional to 44,498 and 96,690

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Solution

The third proportional to 44,498 and 96,690 is: 210,098.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,498 : 96,690 = 96,690 : x
  2. Step 2: Convert to fraction form
    44,498/96,690 = 96,690/x
  3. Step 3: Cross multiply
    44,498x = 96,690 × 96,690
  4. Step 4: Simplify right side
    44,498x = 9,348,956,100
  5. Step 5: Solve for x
    x = 9,348,956,100/44,498
  6. Step 6: Final answer
    x = 210,098.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.