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Finding the Third Proportional to 40,700 and 88,864

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Solution

The third proportional to 40,700 and 88,864 is: 194,024.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,700 : 88,864 = 88,864 : x
  2. Step 2: Convert to fraction form
    40,700/88,864 = 88,864/x
  3. Step 3: Cross multiply
    40,700x = 88,864 × 88,864
  4. Step 4: Simplify right side
    40,700x = 7,896,810,496
  5. Step 5: Solve for x
    x = 7,896,810,496/40,700
  6. Step 6: Final answer
    x = 194,024.83

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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.