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Finding the Third Proportional to 99,833,666 and 218,040,202

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Solution

The third proportional to 99,833,666 and 218,040,202 is: 476,207,391.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,833,666 : 218,040,202 = 218,040,202 : x
  2. Step 2: Convert to fraction form
    99,833,666/218,040,202 = 218,040,202/x
  3. Step 3: Cross multiply
    99,833,666x = 218,040,202 × 218,040,202
  4. Step 4: Simplify right side
    99,833,666x = 47,541,529,688,200,800
  5. Step 5: Solve for x
    x = 47,541,529,688,200,800/99,833,666
  6. Step 6: Final answer
    x = 476,207,391.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.