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Finding the Third Proportional to 92,584,542 and 199,104,648

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Solution

The third proportional to 92,584,542 and 199,104,648 is: 428,177,965.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,584,542 : 199,104,648 = 199,104,648 : x
  2. Step 2: Convert to fraction form
    92,584,542/199,104,648 = 199,104,648/x
  3. Step 3: Cross multiply
    92,584,542x = 199,104,648 × 199,104,648
  4. Step 4: Simplify right side
    92,584,542x = 39,642,660,855,203,904
  5. Step 5: Solve for x
    x = 39,642,660,855,203,904/92,584,542
  6. Step 6: Final answer
    x = 428,177,965.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.