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Finding the Third Proportional to 99,196,728 and 210,193,968

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Solution

The third proportional to 99,196,728 and 210,193,968 is: 445,392,757.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,196,728 : 210,193,968 = 210,193,968 : x
  2. Step 2: Convert to fraction form
    99,196,728/210,193,968 = 210,193,968/x
  3. Step 3: Cross multiply
    99,196,728x = 210,193,968 × 210,193,968
  4. Step 4: Simplify right side
    99,196,728x = 44,181,504,183,585,024
  5. Step 5: Solve for x
    x = 44,181,504,183,585,024/99,196,728
  6. Step 6: Final answer
    x = 445,392,757.14

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.