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Finding the Third Proportional to 44,310 and 96,396

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Solution

The third proportional to 44,310 and 96,396 is: 209,708.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,310 : 96,396 = 96,396 : x
  2. Step 2: Convert to fraction form
    44,310/96,396 = 96,396/x
  3. Step 3: Cross multiply
    44,310x = 96,396 × 96,396
  4. Step 4: Simplify right side
    44,310x = 9,292,188,816
  5. Step 5: Solve for x
    x = 9,292,188,816/44,310
  6. Step 6: Final answer
    x = 209,708.62

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.