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Finding the Third Proportional to 45,797 and 99,370

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Solution

The third proportional to 45,797 and 99,370 is: 215,612.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,797 : 99,370 = 99,370 : x
  2. Step 2: Convert to fraction form
    45,797/99,370 = 99,370/x
  3. Step 3: Cross multiply
    45,797x = 99,370 × 99,370
  4. Step 4: Simplify right side
    45,797x = 9,874,396,900
  5. Step 5: Solve for x
    x = 9,874,396,900/45,797
  6. Step 6: Final answer
    x = 215,612.31

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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.