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Finding the Third Proportional to 99,033,690,507 and 214,512,041,631

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Solution

The third proportional to 99,033,690,507 and 214,512,041,631 is: 464,644,059,704.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,033,690,507 : 214,512,041,631 = 214,512,041,631 : x
  2. Step 2: Convert to fraction form
    99,033,690,507/214,512,041,631 = 214,512,041,631/x
  3. Step 3: Cross multiply
    99,033,690,507x = 214,512,041,631 × 214,512,041,631
  4. Step 4: Simplify right side
    99,033,690,507x = 46,015,416,004,699,874,131,968
  5. Step 5: Solve for x
    x = 46,015,416,004,699,874,131,968/99,033,690,507
  6. Step 6: Final answer
    x = 464,644,059,704.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.