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Finding the Third Proportional to 45,698 and 99,700

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Solution

The third proportional to 45,698 and 99,700 is: 217,516.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,698 : 99,700 = 99,700 : x
  2. Step 2: Convert to fraction form
    45,698/99,700 = 99,700/x
  3. Step 3: Cross multiply
    45,698x = 99,700 × 99,700
  4. Step 4: Simplify right side
    45,698x = 9,940,090,000
  5. Step 5: Solve for x
    x = 9,940,090,000/45,698
  6. Step 6: Final answer
    x = 217,516.96

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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.