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Finding the Third Proportional to 99,018 and 207,918

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Solution

The third proportional to 99,018 and 207,918 is: 436,586.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,018 : 207,918 = 207,918 : x
  2. Step 2: Convert to fraction form
    99,018/207,918 = 207,918/x
  3. Step 3: Cross multiply
    99,018x = 207,918 × 207,918
  4. Step 4: Simplify right side
    99,018x = 43,229,894,724
  5. Step 5: Solve for x
    x = 43,229,894,724/99,018
  6. Step 6: Final answer
    x = 436,586.22

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.