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Finding the Third Proportional to 92,104,514 and 199,749,406

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Solution

The third proportional to 92,104,514 and 199,749,406 is: 433,201,625.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,104,514 : 199,749,406 = 199,749,406 : x
  2. Step 2: Convert to fraction form
    92,104,514/199,749,406 = 199,749,406/x
  3. Step 3: Cross multiply
    92,104,514x = 199,749,406 × 199,749,406
  4. Step 4: Simplify right side
    92,104,514x = 39,899,825,197,352,832
  5. Step 5: Solve for x
    x = 39,899,825,197,352,832/92,104,514
  6. Step 6: Final answer
    x = 433,201,625.68

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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.