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Finding the Third Proportional to 45,837 and 99,396

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Solution

The third proportional to 45,837 and 99,396 is: 215,536.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,837 : 99,396 = 99,396 : x
  2. Step 2: Convert to fraction form
    45,837/99,396 = 99,396/x
  3. Step 3: Cross multiply
    45,837x = 99,396 × 99,396
  4. Step 4: Simplify right side
    45,837x = 9,879,564,816
  5. Step 5: Solve for x
    x = 9,879,564,816/45,837
  6. Step 6: Final answer
    x = 215,536.90

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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.